Home / 648.27-972.32-186.05

Finding the Fourth Proportional to 648.27, 972.32 and 186.05

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Solution

The fourth proportional to 648.27, 972.32 and 186.05 is: 279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.27 : 972.32 = 186.05 : x
  2. Step 2: Convert to fraction form
    648.27/972.32 = 186.05/x
  3. Step 3: Cross multiply
    648.27x = 972.32 × 186.05
  4. Step 4: Simplify right side
    648.27x = 180,901.64
  5. Step 5: Solve for x
    x = 180,901.64/648.27
  6. Step 6: Final answer
    x = 279.05

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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.