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Finding the Fourth Proportional to 55.15, 82.82 and 49.28

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Solution

The fourth proportional to 55.15, 82.82 and 49.28 is: 74.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.15 : 82.82 = 49.28 : x
  2. Step 2: Convert to fraction form
    55.15/82.82 = 49.28/x
  3. Step 3: Cross multiply
    55.15x = 82.82 × 49.28
  4. Step 4: Simplify right side
    55.15x = 4,081.08
  5. Step 5: Solve for x
    x = 4,081.08/55.15
  6. Step 6: Final answer
    x = 74.00

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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.