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Finding the Fourth Proportional to 543.87, 815.95 and 153.87

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Solution

The fourth proportional to 543.87, 815.95 and 153.87 is: 230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.87 : 815.95 = 153.87 : x
  2. Step 2: Convert to fraction form
    543.87/815.95 = 153.87/x
  3. Step 3: Cross multiply
    543.87x = 815.95 × 153.87
  4. Step 4: Simplify right side
    543.87x = 125,549.84
  5. Step 5: Solve for x
    x = 125,549.84/543.87
  6. Step 6: Final answer
    x = 230.85

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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.