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Finding the Fourth Proportional to 461.96, 693.10 and 188.12

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Solution

The fourth proportional to 461.96, 693.10 and 188.12 is: 282.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.96 : 693.10 = 188.12 : x
  2. Step 2: Convert to fraction form
    461.96/693.10 = 188.12/x
  3. Step 3: Cross multiply
    461.96x = 693.10 × 188.12
  4. Step 4: Simplify right side
    461.96x = 130,385.97
  5. Step 5: Solve for x
    x = 130,385.97/461.96
  6. Step 6: Final answer
    x = 282.25

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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.