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Finding the Fourth Proportional to 527.28, 790.91 and 202.71

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Solution

The fourth proportional to 527.28, 790.91 and 202.71 is: 304.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.28 : 790.91 = 202.71 : x
  2. Step 2: Convert to fraction form
    527.28/790.91 = 202.71/x
  3. Step 3: Cross multiply
    527.28x = 790.91 × 202.71
  4. Step 4: Simplify right side
    527.28x = 160,328.08
  5. Step 5: Solve for x
    x = 160,328.08/527.28
  6. Step 6: Final answer
    x = 304.07

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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.