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Finding the Fourth Proportional to 65.35, 98.39 and 61.30

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Solution

The fourth proportional to 65.35, 98.39 and 61.30 is: 92.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.35 : 98.39 = 61.30 : x
  2. Step 2: Convert to fraction form
    65.35/98.39 = 61.30/x
  3. Step 3: Cross multiply
    65.35x = 98.39 × 61.30
  4. Step 4: Simplify right side
    65.35x = 6,031.31
  5. Step 5: Solve for x
    x = 6,031.31/65.35
  6. Step 6: Final answer
    x = 92.29

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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.