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Finding the Fourth Proportional to 460.38, 690.65 and 135.78

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Solution

The fourth proportional to 460.38, 690.65 and 135.78 is: 203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.38 : 690.65 = 135.78 : x
  2. Step 2: Convert to fraction form
    460.38/690.65 = 135.78/x
  3. Step 3: Cross multiply
    460.38x = 690.65 × 135.78
  4. Step 4: Simplify right side
    460.38x = 93,775.78
  5. Step 5: Solve for x
    x = 93,775.78/460.38
  6. Step 6: Final answer
    x = 203.69

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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.