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Finding the Fourth Proportional to 73.67, 101.76 and 55.31

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Solution

The fourth proportional to 73.67, 101.76 and 55.31 is: 76.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.67 : 101.76 = 55.31 : x
  2. Step 2: Convert to fraction form
    73.67/101.76 = 55.31/x
  3. Step 3: Cross multiply
    73.67x = 101.76 × 55.31
  4. Step 4: Simplify right side
    73.67x = 5,628.35
  5. Step 5: Solve for x
    x = 5,628.35/73.67
  6. Step 6: Final answer
    x = 76.40

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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.