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Finding the Fourth Proportional to 508.97, 763.35 and 143.66

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Solution

The fourth proportional to 508.97, 763.35 and 143.66 is: 215.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.97 : 763.35 = 143.66 : x
  2. Step 2: Convert to fraction form
    508.97/763.35 = 143.66/x
  3. Step 3: Cross multiply
    508.97x = 763.35 × 143.66
  4. Step 4: Simplify right side
    508.97x = 109,662.86
  5. Step 5: Solve for x
    x = 109,662.86/508.97
  6. Step 6: Final answer
    x = 215.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.