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Finding the Fourth Proportional to 64.71, 96.39 and 60.78

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Solution

The fourth proportional to 64.71, 96.39 and 60.78 is: 90.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.71 : 96.39 = 60.78 : x
  2. Step 2: Convert to fraction form
    64.71/96.39 = 60.78/x
  3. Step 3: Cross multiply
    64.71x = 96.39 × 60.78
  4. Step 4: Simplify right side
    64.71x = 5,858.67
  5. Step 5: Solve for x
    x = 5,858.67/64.71
  6. Step 6: Final answer
    x = 90.54

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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.