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Finding the Fourth Proportional to 65.57, 98.34 and 19.90

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Solution

The fourth proportional to 65.57, 98.34 and 19.90 is: 29.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.57 : 98.34 = 19.90 : x
  2. Step 2: Convert to fraction form
    65.57/98.34 = 19.90/x
  3. Step 3: Cross multiply
    65.57x = 98.34 × 19.90
  4. Step 4: Simplify right side
    65.57x = 1,956.47
  5. Step 5: Solve for x
    x = 1,956.47/65.57
  6. Step 6: Final answer
    x = 29.84

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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.