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Finding the Fourth Proportional to 240.23, 358.25 and 209.54

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Solution

The fourth proportional to 240.23, 358.25 and 209.54 is: 312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.23 : 358.25 = 209.54 : x
  2. Step 2: Convert to fraction form
    240.23/358.25 = 209.54/x
  3. Step 3: Cross multiply
    240.23x = 358.25 × 209.54
  4. Step 4: Simplify right side
    240.23x = 75,064.87
  5. Step 5: Solve for x
    x = 75,064.87/240.23
  6. Step 6: Final answer
    x = 312.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.