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Finding the Fourth Proportional to 65.34, 89.64 and 61.20

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Solution

The fourth proportional to 65.34, 89.64 and 61.20 is: 83.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.34 : 89.64 = 61.20 : x
  2. Step 2: Convert to fraction form
    65.34/89.64 = 61.20/x
  3. Step 3: Cross multiply
    65.34x = 89.64 × 61.20
  4. Step 4: Simplify right side
    65.34x = 5,485.97
  5. Step 5: Solve for x
    x = 5,485.97/65.34
  6. Step 6: Final answer
    x = 83.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.