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Finding the Fourth Proportional to 45.74, 63.11 and 31.18

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Solution

The fourth proportional to 45.74, 63.11 and 31.18 is: 43.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.74 : 63.11 = 31.18 : x
  2. Step 2: Convert to fraction form
    45.74/63.11 = 31.18/x
  3. Step 3: Cross multiply
    45.74x = 63.11 × 31.18
  4. Step 4: Simplify right side
    45.74x = 1,967.77
  5. Step 5: Solve for x
    x = 1,967.77/45.74
  6. Step 6: Final answer
    x = 43.02

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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.