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Finding the Fourth Proportional to 250.24, 374.82 and 209.20

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Solution

The fourth proportional to 250.24, 374.82 and 209.20 is: 313.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.24 : 374.82 = 209.20 : x
  2. Step 2: Convert to fraction form
    250.24/374.82 = 209.20/x
  3. Step 3: Cross multiply
    250.24x = 374.82 × 209.20
  4. Step 4: Simplify right side
    250.24x = 78,412.34
  5. Step 5: Solve for x
    x = 78,412.34/250.24
  6. Step 6: Final answer
    x = 313.35

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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.