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Finding the Fourth Proportional to 42.22, 63.58 and 37.22

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Solution

The fourth proportional to 42.22, 63.58 and 37.22 is: 56.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.22 : 63.58 = 37.22 : x
  2. Step 2: Convert to fraction form
    42.22/63.58 = 37.22/x
  3. Step 3: Cross multiply
    42.22x = 63.58 × 37.22
  4. Step 4: Simplify right side
    42.22x = 2,366.45
  5. Step 5: Solve for x
    x = 2,366.45/42.22
  6. Step 6: Final answer
    x = 56.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.