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Finding the Fourth Proportional to 527.24, 790.90 and 180.43

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Solution

The fourth proportional to 527.24, 790.90 and 180.43 is: 270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.24 : 790.90 = 180.43 : x
  2. Step 2: Convert to fraction form
    527.24/790.90 = 180.43/x
  3. Step 3: Cross multiply
    527.24x = 790.90 × 180.43
  4. Step 4: Simplify right side
    527.24x = 142,699.21
  5. Step 5: Solve for x
    x = 142,699.21/527.24
  6. Step 6: Final answer
    x = 270.66

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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.