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Finding the Fourth Proportional to 213.70, 320.56 and 74.90

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Solution

The fourth proportional to 213.70, 320.56 and 74.90 is: 112.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.70 : 320.56 = 74.90 : x
  2. Step 2: Convert to fraction form
    213.70/320.56 = 74.90/x
  3. Step 3: Cross multiply
    213.70x = 320.56 × 74.90
  4. Step 4: Simplify right side
    213.70x = 24,008.34
  5. Step 5: Solve for x
    x = 24,008.34/213.70
  6. Step 6: Final answer
    x = 112.35

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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.