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Finding the Fourth Proportional to 65.10, 89.82 and 60.46

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Solution

The fourth proportional to 65.10, 89.82 and 60.46 is: 83.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.10 : 89.82 = 60.46 : x
  2. Step 2: Convert to fraction form
    65.10/89.82 = 60.46/x
  3. Step 3: Cross multiply
    65.10x = 89.82 × 60.46
  4. Step 4: Simplify right side
    65.10x = 5,430.52
  5. Step 5: Solve for x
    x = 5,430.52/65.10
  6. Step 6: Final answer
    x = 83.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.