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Finding the Fourth Proportional to 65.16, 98.28 and 61.41

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Solution

The fourth proportional to 65.16, 98.28 and 61.41 is: 92.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.16 : 98.28 = 61.41 : x
  2. Step 2: Convert to fraction form
    65.16/98.28 = 61.41/x
  3. Step 3: Cross multiply
    65.16x = 98.28 × 61.41
  4. Step 4: Simplify right side
    65.16x = 6,035.37
  5. Step 5: Solve for x
    x = 6,035.37/65.16
  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.