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Finding the Fourth Proportional to 459.20, 688.64 and 150.97

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Solution

The fourth proportional to 459.20, 688.64 and 150.97 is: 226.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.20 : 688.64 = 150.97 : x
  2. Step 2: Convert to fraction form
    459.20/688.64 = 150.97/x
  3. Step 3: Cross multiply
    459.20x = 688.64 × 150.97
  4. Step 4: Simplify right side
    459.20x = 103,963.98
  5. Step 5: Solve for x
    x = 103,963.98/459.20
  6. Step 6: Final answer
    x = 226.40

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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.