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Finding the Fourth Proportional to 67.79, 101.65 and 21.50

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Solution

The fourth proportional to 67.79, 101.65 and 21.50 is: 32.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.79 : 101.65 = 21.50 : x
  2. Step 2: Convert to fraction form
    67.79/101.65 = 21.50/x
  3. Step 3: Cross multiply
    67.79x = 101.65 × 21.50
  4. Step 4: Simplify right side
    67.79x = 2,185.48
  5. Step 5: Solve for x
    x = 2,185.48/67.79
  6. Step 6: Final answer
    x = 32.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.