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Finding the Fourth Proportional to 445.28, 614.68 and 258.96

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Solution

The fourth proportional to 445.28, 614.68 and 258.96 is: 357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.28 : 614.68 = 258.96 : x
  2. Step 2: Convert to fraction form
    445.28/614.68 = 258.96/x
  3. Step 3: Cross multiply
    445.28x = 614.68 × 258.96
  4. Step 4: Simplify right side
    445.28x = 159,177.53
  5. Step 5: Solve for x
    x = 159,177.53/445.28
  6. Step 6: Final answer
    x = 357.48

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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.