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Finding the Fourth Proportional to 463.76, 695.33 and 189.52

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Solution

The fourth proportional to 463.76, 695.33 and 189.52 is: 284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.76 : 695.33 = 189.52 : x
  2. Step 2: Convert to fraction form
    463.76/695.33 = 189.52/x
  3. Step 3: Cross multiply
    463.76x = 695.33 × 189.52
  4. Step 4: Simplify right side
    463.76x = 131,776.97
  5. Step 5: Solve for x
    x = 131,776.97/463.76
  6. Step 6: Final answer
    x = 284.15

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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.