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Finding the Fourth Proportional to 42.63, 63.69 and 31.12

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Solution

The fourth proportional to 42.63, 63.69 and 31.12 is: 46.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.63 : 63.69 = 31.12 : x
  2. Step 2: Convert to fraction form
    42.63/63.69 = 31.12/x
  3. Step 3: Cross multiply
    42.63x = 63.69 × 31.12
  4. Step 4: Simplify right side
    42.63x = 1,981.76
  5. Step 5: Solve for x
    x = 1,981.76/42.63
  6. Step 6: Final answer
    x = 46.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.