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Finding the Fourth Proportional to 55.40, 76.42 and 49.19

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Solution

The fourth proportional to 55.40, 76.42 and 49.19 is: 67.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.40 : 76.42 = 49.19 : x
  2. Step 2: Convert to fraction form
    55.40/76.42 = 49.19/x
  3. Step 3: Cross multiply
    55.40x = 76.42 × 49.19
  4. Step 4: Simplify right side
    55.40x = 3,759.10
  5. Step 5: Solve for x
    x = 3,759.10/55.40
  6. Step 6: Final answer
    x = 67.85

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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.