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Finding the Fourth Proportional to 32.76, 49.40 and 31.42

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Solution

The fourth proportional to 32.76, 49.40 and 31.42 is: 47.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.76 : 49.40 = 31.42 : x
  2. Step 2: Convert to fraction form
    32.76/49.40 = 31.42/x
  3. Step 3: Cross multiply
    32.76x = 49.40 × 31.42
  4. Step 4: Simplify right side
    32.76x = 1,552.15
  5. Step 5: Solve for x
    x = 1,552.15/32.76
  6. Step 6: Final answer
    x = 47.38

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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.