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Finding the Fourth Proportional to 73.28, 100.76 and 65.46

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Solution

The fourth proportional to 73.28, 100.76 and 65.46 is: 90.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.28 : 100.76 = 65.46 : x
  2. Step 2: Convert to fraction form
    73.28/100.76 = 65.46/x
  3. Step 3: Cross multiply
    73.28x = 100.76 × 65.46
  4. Step 4: Simplify right side
    73.28x = 6,595.75
  5. Step 5: Solve for x
    x = 6,595.75/73.28
  6. Step 6: Final answer
    x = 90.01

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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.