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Finding the Fourth Proportional to 402.28, 554.10 and 314.68

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Solution

The fourth proportional to 402.28, 554.10 and 314.68 is: 433.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.28 : 554.10 = 314.68 : x
  2. Step 2: Convert to fraction form
    402.28/554.10 = 314.68/x
  3. Step 3: Cross multiply
    402.28x = 554.10 × 314.68
  4. Step 4: Simplify right side
    402.28x = 174,364.19
  5. Step 5: Solve for x
    x = 174,364.19/402.28
  6. Step 6: Final answer
    x = 433.44

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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.