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Finding the Fourth Proportional to 55.96, 77.18 and 49.08

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Solution

The fourth proportional to 55.96, 77.18 and 49.08 is: 67.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.96 : 77.18 = 49.08 : x
  2. Step 2: Convert to fraction form
    55.96/77.18 = 49.08/x
  3. Step 3: Cross multiply
    55.96x = 77.18 × 49.08
  4. Step 4: Simplify right side
    55.96x = 3,787.99
  5. Step 5: Solve for x
    x = 3,787.99/55.96
  6. Step 6: Final answer
    x = 67.69

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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.