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Finding the Fourth Proportional to 498.66, 748.09 and 210.09

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Solution

The fourth proportional to 498.66, 748.09 and 210.09 is: 315.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.66 : 748.09 = 210.09 : x
  2. Step 2: Convert to fraction form
    498.66/748.09 = 210.09/x
  3. Step 3: Cross multiply
    498.66x = 748.09 × 210.09
  4. Step 4: Simplify right side
    498.66x = 157,168.11
  5. Step 5: Solve for x
    x = 157,168.11/498.66
  6. Step 6: Final answer
    x = 315.18

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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.