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Finding the Fourth Proportional to 526.59, 790.11 and 179.97

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Solution

The fourth proportional to 526.59, 790.11 and 179.97 is: 270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.59 : 790.11 = 179.97 : x
  2. Step 2: Convert to fraction form
    526.59/790.11 = 179.97/x
  3. Step 3: Cross multiply
    526.59x = 790.11 × 179.97
  4. Step 4: Simplify right side
    526.59x = 142,197.70
  5. Step 5: Solve for x
    x = 142,197.70/526.59
  6. Step 6: Final answer
    x = 270.04

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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.