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Finding the Fourth Proportional to 55.84, 76.98 and 42.04

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Solution

The fourth proportional to 55.84, 76.98 and 42.04 is: 57.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.84 : 76.98 = 42.04 : x
  2. Step 2: Convert to fraction form
    55.84/76.98 = 42.04/x
  3. Step 3: Cross multiply
    55.84x = 76.98 × 42.04
  4. Step 4: Simplify right side
    55.84x = 3,236.24
  5. Step 5: Solve for x
    x = 3,236.24/55.84
  6. Step 6: Final answer
    x = 57.96

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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.