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Finding the Fourth Proportional to 55.15, 76.17 and 42.84

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Solution

The fourth proportional to 55.15, 76.17 and 42.84 is: 59.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.15 : 76.17 = 42.84 : x
  2. Step 2: Convert to fraction form
    55.15/76.17 = 42.84/x
  3. Step 3: Cross multiply
    55.15x = 76.17 × 42.84
  4. Step 4: Simplify right side
    55.15x = 3,263.28
  5. Step 5: Solve for x
    x = 3,263.28/55.15
  6. Step 6: Final answer
    x = 59.17

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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.