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Finding the Fourth Proportional to 460.59, 690.98 and 168.11

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Solution

The fourth proportional to 460.59, 690.98 and 168.11 is: 252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.59 : 690.98 = 168.11 : x
  2. Step 2: Convert to fraction form
    460.59/690.98 = 168.11/x
  3. Step 3: Cross multiply
    460.59x = 690.98 × 168.11
  4. Step 4: Simplify right side
    460.59x = 116,159.89
  5. Step 5: Solve for x
    x = 116,159.89/460.59
  6. Step 6: Final answer
    x = 252.20

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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.