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Finding the Fourth Proportional to 65.48, 97.63 and 61.34

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Solution

The fourth proportional to 65.48, 97.63 and 61.34 is: 91.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.48 : 97.63 = 61.34 : x
  2. Step 2: Convert to fraction form
    65.48/97.63 = 61.34/x
  3. Step 3: Cross multiply
    65.48x = 97.63 × 61.34
  4. Step 4: Simplify right side
    65.48x = 5,988.62
  5. Step 5: Solve for x
    x = 5,988.62/65.48
  6. Step 6: Final answer
    x = 91.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.