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Finding the Fourth Proportional to 459.88, 689.81 and 135.25

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Solution

The fourth proportional to 459.88, 689.81 and 135.25 is: 202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.88 : 689.81 = 135.25 : x
  2. Step 2: Convert to fraction form
    459.88/689.81 = 135.25/x
  3. Step 3: Cross multiply
    459.88x = 689.81 × 135.25
  4. Step 4: Simplify right side
    459.88x = 93,296.80
  5. Step 5: Solve for x
    x = 93,296.80/459.88
  6. Step 6: Final answer
    x = 202.87

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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.