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Finding the Fourth Proportional to 42.56, 64.08 and 31.22

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Solution

The fourth proportional to 42.56, 64.08 and 31.22 is: 47.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.56 : 64.08 = 31.22 : x
  2. Step 2: Convert to fraction form
    42.56/64.08 = 31.22/x
  3. Step 3: Cross multiply
    42.56x = 64.08 × 31.22
  4. Step 4: Simplify right side
    42.56x = 2,000.58
  5. Step 5: Solve for x
    x = 2,000.58/42.56
  6. Step 6: Final answer
    x = 47.01

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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.