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Finding the Fourth Proportional to 67.79, 101.02 and 65.21

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Solution

The fourth proportional to 67.79, 101.02 and 65.21 is: 97.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.79 : 101.02 = 65.21 : x
  2. Step 2: Convert to fraction form
    67.79/101.02 = 65.21/x
  3. Step 3: Cross multiply
    67.79x = 101.02 × 65.21
  4. Step 4: Simplify right side
    67.79x = 6,587.19
  5. Step 5: Solve for x
    x = 6,587.19/67.79
  6. Step 6: Final answer
    x = 97.17

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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.