Home / 284.87-427.31-102.14

Finding the Fourth Proportional to 284.87, 427.31 and 102.14

Calculator

Solution

The fourth proportional to 284.87, 427.31 and 102.14 is: 153.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.87 : 427.31 = 102.14 : x
  2. Step 2: Convert to fraction form
    284.87/427.31 = 102.14/x
  3. Step 3: Cross multiply
    284.87x = 427.31 × 102.14
  4. Step 4: Simplify right side
    284.87x = 43,645.44
  5. Step 5: Solve for x
    x = 43,645.44/284.87
  6. Step 6: Final answer
    x = 153.21

Related Problems

Find fourth proportional to 142.44, 213.66 and 51.07
Half scale
Find fourth proportional to 569.74, 854.62 and 204.28
Double scale
Find fourth proportional to 285.87, 428.81 and 103.14
Similar ratio
Find fourth proportional to 427.31, 640.97 and 153.21
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.