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Finding the Fourth Proportional to 648.30, 972.49 and 186.07

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Solution

The fourth proportional to 648.30, 972.49 and 186.07 is: 279.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.30 : 972.49 = 186.07 : x
  2. Step 2: Convert to fraction form
    648.30/972.49 = 186.07/x
  3. Step 3: Cross multiply
    648.30x = 972.49 × 186.07
  4. Step 4: Simplify right side
    648.30x = 180,951.21
  5. Step 5: Solve for x
    x = 180,951.21/648.30
  6. Step 6: Final answer
    x = 279.12

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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.