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Finding the Fourth Proportional to 501.08, 752.08 and 257.78

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Solution

The fourth proportional to 501.08, 752.08 and 257.78 is: 386.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.08 : 752.08 = 257.78 : x
  2. Step 2: Convert to fraction form
    501.08/752.08 = 257.78/x
  3. Step 3: Cross multiply
    501.08x = 752.08 × 257.78
  4. Step 4: Simplify right side
    501.08x = 193,871.18
  5. Step 5: Solve for x
    x = 193,871.18/501.08
  6. Step 6: Final answer
    x = 386.91

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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.