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Finding the Fourth Proportional to 64.30, 95.78 and 63.58

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Solution

The fourth proportional to 64.30, 95.78 and 63.58 is: 94.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.30 : 95.78 = 63.58 : x
  2. Step 2: Convert to fraction form
    64.30/95.78 = 63.58/x
  3. Step 3: Cross multiply
    64.30x = 95.78 × 63.58
  4. Step 4: Simplify right side
    64.30x = 6,089.69
  5. Step 5: Solve for x
    x = 6,089.69/64.30
  6. Step 6: Final answer
    x = 94.71

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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.