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Finding the Fourth Proportional to 648.08, 971.81 and 237.25

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Solution

The fourth proportional to 648.08, 971.81 and 237.25 is: 355.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.08 : 971.81 = 237.25 : x
  2. Step 2: Convert to fraction form
    648.08/971.81 = 237.25/x
  3. Step 3: Cross multiply
    648.08x = 971.81 × 237.25
  4. Step 4: Simplify right side
    648.08x = 230,561.92
  5. Step 5: Solve for x
    x = 230,561.92/648.08
  6. Step 6: Final answer
    x = 355.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.