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Finding the Fourth Proportional to 64.24, 95.88 and 57.51

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Solution

The fourth proportional to 64.24, 95.88 and 57.51 is: 85.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.24 : 95.88 = 57.51 : x
  2. Step 2: Convert to fraction form
    64.24/95.88 = 57.51/x
  3. Step 3: Cross multiply
    64.24x = 95.88 × 57.51
  4. Step 4: Simplify right side
    64.24x = 5,514.27
  5. Step 5: Solve for x
    x = 5,514.27/64.24
  6. Step 6: Final answer
    x = 85.83

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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.