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Finding the Fourth Proportional to 37.88, 52.20 and 34.20

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Solution

The fourth proportional to 37.88, 52.20 and 34.20 is: 47.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.88 : 52.20 = 34.20 : x
  2. Step 2: Convert to fraction form
    37.88/52.20 = 34.20/x
  3. Step 3: Cross multiply
    37.88x = 52.20 × 34.20
  4. Step 4: Simplify right side
    37.88x = 1,785.24
  5. Step 5: Solve for x
    x = 1,785.24/37.88
  6. Step 6: Final answer
    x = 47.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.