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Finding the Fourth Proportional to 65.55, 98.34 and 55.29

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Solution

The fourth proportional to 65.55, 98.34 and 55.29 is: 82.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.55 : 98.34 = 55.29 : x
  2. Step 2: Convert to fraction form
    65.55/98.34 = 55.29/x
  3. Step 3: Cross multiply
    65.55x = 98.34 × 55.29
  4. Step 4: Simplify right side
    65.55x = 5,437.22
  5. Step 5: Solve for x
    x = 5,437.22/65.55
  6. Step 6: Final answer
    x = 82.95

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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.