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Finding the Fourth Proportional to 55.56, 83.10 and 48.78

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Solution

The fourth proportional to 55.56, 83.10 and 48.78 is: 72.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.56 : 83.10 = 48.78 : x
  2. Step 2: Convert to fraction form
    55.56/83.10 = 48.78/x
  3. Step 3: Cross multiply
    55.56x = 83.10 × 48.78
  4. Step 4: Simplify right side
    55.56x = 4,053.62
  5. Step 5: Solve for x
    x = 4,053.62/55.56
  6. Step 6: Final answer
    x = 72.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.