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Finding the Fourth Proportional to 459.25, 688.91 and 151.10

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Solution

The fourth proportional to 459.25, 688.91 and 151.10 is: 226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.25 : 688.91 = 151.10 : x
  2. Step 2: Convert to fraction form
    459.25/688.91 = 151.10/x
  3. Step 3: Cross multiply
    459.25x = 688.91 × 151.10
  4. Step 4: Simplify right side
    459.25x = 104,092.68
  5. Step 5: Solve for x
    x = 104,092.68/459.25
  6. Step 6: Final answer
    x = 226.66

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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.