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Finding the Fourth Proportional to 247.28, 370.40 and 133.04

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Solution

The fourth proportional to 247.28, 370.40 and 133.04 is: 199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.28 : 370.40 = 133.04 : x
  2. Step 2: Convert to fraction form
    247.28/370.40 = 133.04/x
  3. Step 3: Cross multiply
    247.28x = 370.40 × 133.04
  4. Step 4: Simplify right side
    247.28x = 49,278.02
  5. Step 5: Solve for x
    x = 49,278.02/247.28
  6. Step 6: Final answer
    x = 199.28

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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.