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Finding the Fourth Proportional to 32.75, 48.45 and 32.66

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Solution

The fourth proportional to 32.75, 48.45 and 32.66 is: 48.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.75 : 48.45 = 32.66 : x
  2. Step 2: Convert to fraction form
    32.75/48.45 = 32.66/x
  3. Step 3: Cross multiply
    32.75x = 48.45 × 32.66
  4. Step 4: Simplify right side
    32.75x = 1,582.38
  5. Step 5: Solve for x
    x = 1,582.38/32.75
  6. Step 6: Final answer
    x = 48.32

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.