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Finding the Fourth Proportional to 74.00, 101.94 and 55.47

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Solution

The fourth proportional to 74.00, 101.94 and 55.47 is: 76.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.00 : 101.94 = 55.47 : x
  2. Step 2: Convert to fraction form
    74.00/101.94 = 55.47/x
  3. Step 3: Cross multiply
    74.00x = 101.94 × 55.47
  4. Step 4: Simplify right side
    74.00x = 5,654.61
  5. Step 5: Solve for x
    x = 5,654.61/74.00
  6. Step 6: Final answer
    x = 76.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.