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Finding the Fourth Proportional to 502.44, 753 and 213.52

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Solution

The fourth proportional to 502.44, 753 and 213.52 is: 320.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.44 : 753 = 213.52 : x
  2. Step 2: Convert to fraction form
    502.44/753 = 213.52/x
  3. Step 3: Cross multiply
    502.44x = 753 × 213.52
  4. Step 4: Simplify right side
    502.44x = 160,780.56
  5. Step 5: Solve for x
    x = 160,780.56/502.44
  6. Step 6: Final answer
    x = 320.00

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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.