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Finding the Fourth Proportional to 458.08, 687 and 133.48

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Solution

The fourth proportional to 458.08, 687 and 133.48 is: 200.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.08 : 687 = 133.48 : x
  2. Step 2: Convert to fraction form
    458.08/687 = 133.48/x
  3. Step 3: Cross multiply
    458.08x = 687 × 133.48
  4. Step 4: Simplify right side
    458.08x = 91,700.76
  5. Step 5: Solve for x
    x = 91,700.76/458.08
  6. Step 6: Final answer
    x = 200.19

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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.