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Finding the Fourth Proportional to 648.08, 972.15 and 263.42

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Solution

The fourth proportional to 648.08, 972.15 and 263.42 is: 395.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.08 : 972.15 = 263.42 : x
  2. Step 2: Convert to fraction form
    648.08/972.15 = 263.42/x
  3. Step 3: Cross multiply
    648.08x = 972.15 × 263.42
  4. Step 4: Simplify right side
    648.08x = 256,083.75
  5. Step 5: Solve for x
    x = 256,083.75/648.08
  6. Step 6: Final answer
    x = 395.14

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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.