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Finding the Fourth Proportional to 55.56, 83.40 and 28.50

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Solution

The fourth proportional to 55.56, 83.40 and 28.50 is: 42.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.56 : 83.40 = 28.50 : x
  2. Step 2: Convert to fraction form
    55.56/83.40 = 28.50/x
  3. Step 3: Cross multiply
    55.56x = 83.40 × 28.50
  4. Step 4: Simplify right side
    55.56x = 2,376.90
  5. Step 5: Solve for x
    x = 2,376.90/55.56
  6. Step 6: Final answer
    x = 42.78

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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.