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Finding the Fourth Proportional to 527.07, 790.55 and 180.41

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Solution

The fourth proportional to 527.07, 790.55 and 180.41 is: 270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.07 : 790.55 = 180.41 : x
  2. Step 2: Convert to fraction form
    527.07/790.55 = 180.41/x
  3. Step 3: Cross multiply
    527.07x = 790.55 × 180.41
  4. Step 4: Simplify right side
    527.07x = 142,622.59
  5. Step 5: Solve for x
    x = 142,622.59/527.07
  6. Step 6: Final answer
    x = 270.60

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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.