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Finding the Fourth Proportional to 648.96, 972.96 and 210.05

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Solution

The fourth proportional to 648.96, 972.96 and 210.05 is: 314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.96 : 972.96 = 210.05 : x
  2. Step 2: Convert to fraction form
    648.96/972.96 = 210.05/x
  3. Step 3: Cross multiply
    648.96x = 972.96 × 210.05
  4. Step 4: Simplify right side
    648.96x = 204,370.25
  5. Step 5: Solve for x
    x = 204,370.25/648.96
  6. Step 6: Final answer
    x = 314.92

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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.