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Finding the Fourth Proportional to 64.46, 89.02 and 48.92

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Solution

The fourth proportional to 64.46, 89.02 and 48.92 is: 67.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.46 : 89.02 = 48.92 : x
  2. Step 2: Convert to fraction form
    64.46/89.02 = 48.92/x
  3. Step 3: Cross multiply
    64.46x = 89.02 × 48.92
  4. Step 4: Simplify right side
    64.46x = 4,354.76
  5. Step 5: Solve for x
    x = 4,354.76/64.46
  6. Step 6: Final answer
    x = 67.56

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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.