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Finding the Fourth Proportional to 288.86, 397.59 and 239.18

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Solution

The fourth proportional to 288.86, 397.59 and 239.18 is: 329.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.86 : 397.59 = 239.18 : x
  2. Step 2: Convert to fraction form
    288.86/397.59 = 239.18/x
  3. Step 3: Cross multiply
    288.86x = 397.59 × 239.18
  4. Step 4: Simplify right side
    288.86x = 95,095.58
  5. Step 5: Solve for x
    x = 95,095.58/288.86
  6. Step 6: Final answer
    x = 329.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.