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Finding the Fourth Proportional to 543.16, 814.94 and 177.95

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Solution

The fourth proportional to 543.16, 814.94 and 177.95 is: 266.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.16 : 814.94 = 177.95 : x
  2. Step 2: Convert to fraction form
    543.16/814.94 = 177.95/x
  3. Step 3: Cross multiply
    543.16x = 814.94 × 177.95
  4. Step 4: Simplify right side
    543.16x = 145,018.57
  5. Step 5: Solve for x
    x = 145,018.57/543.16
  6. Step 6: Final answer
    x = 266.99

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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.