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Finding the Fourth Proportional to 460.47, 690.62 and 135.76

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Solution

The fourth proportional to 460.47, 690.62 and 135.76 is: 203.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.47 : 690.62 = 135.76 : x
  2. Step 2: Convert to fraction form
    460.47/690.62 = 135.76/x
  3. Step 3: Cross multiply
    460.47x = 690.62 × 135.76
  4. Step 4: Simplify right side
    460.47x = 93,758.57
  5. Step 5: Solve for x
    x = 93,758.57/460.47
  6. Step 6: Final answer
    x = 203.61

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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.