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Finding the Fourth Proportional to 55.14, 81.78 and 55.01

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Solution

The fourth proportional to 55.14, 81.78 and 55.01 is: 81.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.14 : 81.78 = 55.01 : x
  2. Step 2: Convert to fraction form
    55.14/81.78 = 55.01/x
  3. Step 3: Cross multiply
    55.14x = 81.78 × 55.01
  4. Step 4: Simplify right side
    55.14x = 4,498.31
  5. Step 5: Solve for x
    x = 4,498.31/55.14
  6. Step 6: Final answer
    x = 81.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.