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Finding the Fourth Proportional to 459.90, 689.85 and 135.23

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Solution

The fourth proportional to 459.90, 689.85 and 135.23 is: 202.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.90 : 689.85 = 135.23 : x
  2. Step 2: Convert to fraction form
    459.90/689.85 = 135.23/x
  3. Step 3: Cross multiply
    459.90x = 689.85 × 135.23
  4. Step 4: Simplify right side
    459.90x = 93,284.97
  5. Step 5: Solve for x
    x = 93,284.97/459.90
  6. Step 6: Final answer
    x = 202.84

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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.