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Finding the Fourth Proportional to 402.77, 555.26 and 315.29

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Solution

The fourth proportional to 402.77, 555.26 and 315.29 is: 434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.77 : 555.26 = 315.29 : x
  2. Step 2: Convert to fraction form
    402.77/555.26 = 315.29/x
  3. Step 3: Cross multiply
    402.77x = 555.26 × 315.29
  4. Step 4: Simplify right side
    402.77x = 175,067.74
  5. Step 5: Solve for x
    x = 175,067.74/402.77
  6. Step 6: Final answer
    x = 434.66

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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.