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Finding the Fourth Proportional to 74, 101.98 and 68.20

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Solution

The fourth proportional to 74, 101.98 and 68.20 is: 93.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    74 : 101.98 = 68.20 : x
  2. Step 2: Convert to fraction form
    74/101.98 = 68.20/x
  3. Step 3: Cross multiply
    74x = 101.98 × 68.20
  4. Step 4: Simplify right side
    74x = 6,955.04
  5. Step 5: Solve for x
    x = 6,955.04/74
  6. Step 6: Final answer
    x = 93.99

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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.