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Finding the Fourth Proportional to 55.67, 76.90 and 41.20

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Solution

The fourth proportional to 55.67, 76.90 and 41.20 is: 56.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.67 : 76.90 = 41.20 : x
  2. Step 2: Convert to fraction form
    55.67/76.90 = 41.20/x
  3. Step 3: Cross multiply
    55.67x = 76.90 × 41.20
  4. Step 4: Simplify right side
    55.67x = 3,168.28
  5. Step 5: Solve for x
    x = 3,168.28/55.67
  6. Step 6: Final answer
    x = 56.91

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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.