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Finding the Fourth Proportional to 543.45, 814.66 and 178.04

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Solution

The fourth proportional to 543.45, 814.66 and 178.04 is: 266.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.45 : 814.66 = 178.04 : x
  2. Step 2: Convert to fraction form
    543.45/814.66 = 178.04/x
  3. Step 3: Cross multiply
    543.45x = 814.66 × 178.04
  4. Step 4: Simplify right side
    543.45x = 145,037.93
  5. Step 5: Solve for x
    x = 145,037.93/543.45
  6. Step 6: Final answer
    x = 266.89

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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.