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Finding the Fourth Proportional to 65.18, 98.23 and 61.46

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Solution

The fourth proportional to 65.18, 98.23 and 61.46 is: 92.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.18 : 98.23 = 61.46 : x
  2. Step 2: Convert to fraction form
    65.18/98.23 = 61.46/x
  3. Step 3: Cross multiply
    65.18x = 98.23 × 61.46
  4. Step 4: Simplify right side
    65.18x = 6,037.05
  5. Step 5: Solve for x
    x = 6,037.05/65.18
  6. Step 6: Final answer
    x = 92.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.