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Finding the Fourth Proportional to 31.22, 46.57 and 26.89

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Solution

The fourth proportional to 31.22, 46.57 and 26.89 is: 40.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.22 : 46.57 = 26.89 : x
  2. Step 2: Convert to fraction form
    31.22/46.57 = 26.89/x
  3. Step 3: Cross multiply
    31.22x = 46.57 × 26.89
  4. Step 4: Simplify right side
    31.22x = 1,252.13
  5. Step 5: Solve for x
    x = 1,252.13/31.22
  6. Step 6: Final answer
    x = 40.11

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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.