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Finding the Fourth Proportional to 484.08, 725.84 and 210.24

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Solution

The fourth proportional to 484.08, 725.84 and 210.24 is: 315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.08 : 725.84 = 210.24 : x
  2. Step 2: Convert to fraction form
    484.08/725.84 = 210.24/x
  3. Step 3: Cross multiply
    484.08x = 725.84 × 210.24
  4. Step 4: Simplify right side
    484.08x = 152,600.60
  5. Step 5: Solve for x
    x = 152,600.60/484.08
  6. Step 6: Final answer
    x = 315.24

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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.