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Finding the Fourth Proportional to 514.31, 710.03 and 355.04

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Solution

The fourth proportional to 514.31, 710.03 and 355.04 is: 490.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.31 : 710.03 = 355.04 : x
  2. Step 2: Convert to fraction form
    514.31/710.03 = 355.04/x
  3. Step 3: Cross multiply
    514.31x = 710.03 × 355.04
  4. Step 4: Simplify right side
    514.31x = 252,089.05
  5. Step 5: Solve for x
    x = 252,089.05/514.31
  6. Step 6: Final answer
    x = 490.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.