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Finding the Fourth Proportional to 239.32, 360.40 and 209.26

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Solution

The fourth proportional to 239.32, 360.40 and 209.26 is: 315.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.32 : 360.40 = 209.26 : x
  2. Step 2: Convert to fraction form
    239.32/360.40 = 209.26/x
  3. Step 3: Cross multiply
    239.32x = 360.40 × 209.26
  4. Step 4: Simplify right side
    239.32x = 75,417.30
  5. Step 5: Solve for x
    x = 75,417.30/239.32
  6. Step 6: Final answer
    x = 315.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.