Home / 357.20-534.84-314

Finding the Fourth Proportional to 357.20, 534.84 and 314

Calculator

Solution

The fourth proportional to 357.20, 534.84 and 314 is: 470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.20 : 534.84 = 314 : x
  2. Step 2: Convert to fraction form
    357.20/534.84 = 314/x
  3. Step 3: Cross multiply
    357.20x = 534.84 × 314
  4. Step 4: Simplify right side
    357.20x = 167,939.76
  5. Step 5: Solve for x
    x = 167,939.76/357.20
  6. Step 6: Final answer
    x = 470.16

Related Problems

Find fourth proportional to 178.60, 267.42 and 157
Half scale
Find fourth proportional to 714.40, 1,069.68 and 628
Double scale
Find fourth proportional to 358.20, 536.34 and 315
Similar ratio
Find fourth proportional to 535.80, 802.26 and 471
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.