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Finding the Fourth Proportional to 458.91, 688.30 and 150.77

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Solution

The fourth proportional to 458.91, 688.30 and 150.77 is: 226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.91 : 688.30 = 150.77 : x
  2. Step 2: Convert to fraction form
    458.91/688.30 = 150.77/x
  3. Step 3: Cross multiply
    458.91x = 688.30 × 150.77
  4. Step 4: Simplify right side
    458.91x = 103,777.30
  5. Step 5: Solve for x
    x = 103,777.30/458.91
  6. Step 6: Final answer
    x = 226.14

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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.