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Finding the Fourth Proportional to 501.68, 753.06 and 258.14

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Solution

The fourth proportional to 501.68, 753.06 and 258.14 is: 387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.68 : 753.06 = 258.14 : x
  2. Step 2: Convert to fraction form
    501.68/753.06 = 258.14/x
  3. Step 3: Cross multiply
    501.68x = 753.06 × 258.14
  4. Step 4: Simplify right side
    501.68x = 194,391.14
  5. Step 5: Solve for x
    x = 194,391.14/501.68
  6. Step 6: Final answer
    x = 387.48

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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.