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Finding the Fourth Proportional to 55.78, 83.24 and 55.06

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Solution

The fourth proportional to 55.78, 83.24 and 55.06 is: 82.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.78 : 83.24 = 55.06 : x
  2. Step 2: Convert to fraction form
    55.78/83.24 = 55.06/x
  3. Step 3: Cross multiply
    55.78x = 83.24 × 55.06
  4. Step 4: Simplify right side
    55.78x = 4,583.19
  5. Step 5: Solve for x
    x = 4,583.19/55.78
  6. Step 6: Final answer
    x = 82.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.