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Finding the Fourth Proportional to 402.64, 555.12 and 297.70

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Solution

The fourth proportional to 402.64, 555.12 and 297.70 is: 410.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.64 : 555.12 = 297.70 : x
  2. Step 2: Convert to fraction form
    402.64/555.12 = 297.70/x
  3. Step 3: Cross multiply
    402.64x = 555.12 × 297.70
  4. Step 4: Simplify right side
    402.64x = 165,259.22
  5. Step 5: Solve for x
    x = 165,259.22/402.64
  6. Step 6: Final answer
    x = 410.44

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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.