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Finding the Fourth Proportional to 64.05, 95.46 and 62.68

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Solution

The fourth proportional to 64.05, 95.46 and 62.68 is: 93.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.05 : 95.46 = 62.68 : x
  2. Step 2: Convert to fraction form
    64.05/95.46 = 62.68/x
  3. Step 3: Cross multiply
    64.05x = 95.46 × 62.68
  4. Step 4: Simplify right side
    64.05x = 5,983.19
  5. Step 5: Solve for x
    x = 5,983.19/64.05
  6. Step 6: Final answer
    x = 93.41

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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.