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Finding the Fourth Proportional to 501.30, 752.49 and 257.76

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Solution

The fourth proportional to 501.30, 752.49 and 257.76 is: 386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.30 : 752.49 = 257.76 : x
  2. Step 2: Convert to fraction form
    501.30/752.49 = 257.76/x
  3. Step 3: Cross multiply
    501.30x = 752.49 × 257.76
  4. Step 4: Simplify right side
    501.30x = 193,961.82
  5. Step 5: Solve for x
    x = 193,961.82/501.30
  6. Step 6: Final answer
    x = 386.92

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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.