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Finding the Fourth Proportional to 543.44, 815.18 and 178.13

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Solution

The fourth proportional to 543.44, 815.18 and 178.13 is: 267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.44 : 815.18 = 178.13 : x
  2. Step 2: Convert to fraction form
    543.44/815.18 = 178.13/x
  3. Step 3: Cross multiply
    543.44x = 815.18 × 178.13
  4. Step 4: Simplify right side
    543.44x = 145,208.01
  5. Step 5: Solve for x
    x = 145,208.01/543.44
  6. Step 6: Final answer
    x = 267.20

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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.