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Finding the Fourth Proportional to 402.75, 556.02 and 314.04

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Solution

The fourth proportional to 402.75, 556.02 and 314.04 is: 433.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.75 : 556.02 = 314.04 : x
  2. Step 2: Convert to fraction form
    402.75/556.02 = 314.04/x
  3. Step 3: Cross multiply
    402.75x = 556.02 × 314.04
  4. Step 4: Simplify right side
    402.75x = 174,612.52
  5. Step 5: Solve for x
    x = 174,612.52/402.75
  6. Step 6: Final answer
    x = 433.55

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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.