Home / 65.11-97.64-21.78

Finding the Fourth Proportional to 65.11, 97.64 and 21.78

Calculator

Solution

The fourth proportional to 65.11, 97.64 and 21.78 is: 32.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.11 : 97.64 = 21.78 : x
  2. Step 2: Convert to fraction form
    65.11/97.64 = 21.78/x
  3. Step 3: Cross multiply
    65.11x = 97.64 × 21.78
  4. Step 4: Simplify right side
    65.11x = 2,126.11
  5. Step 5: Solve for x
    x = 2,126.11/65.11
  6. Step 6: Final answer
    x = 32.65

Related Problems

Find fourth proportional to 32.56, 48.82 and 10.89
Half scale
Find fourth proportional to 130.22, 195.28 and 43.55
Double scale
Find fourth proportional to 66.11, 99.14 and 22.78
Similar ratio
Find fourth proportional to 97.67, 146.46 and 32.66
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.