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Finding the Fourth Proportional to 32.18, 44.66 and 31.80

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Solution

The fourth proportional to 32.18, 44.66 and 31.80 is: 44.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.18 : 44.66 = 31.80 : x
  2. Step 2: Convert to fraction form
    32.18/44.66 = 31.80/x
  3. Step 3: Cross multiply
    32.18x = 44.66 × 31.80
  4. Step 4: Simplify right side
    32.18x = 1,420.19
  5. Step 5: Solve for x
    x = 1,420.19/32.18
  6. Step 6: Final answer
    x = 44.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.