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Finding the Fourth Proportional to 239.72, 330.54 and 216.40

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Solution

The fourth proportional to 239.72, 330.54 and 216.40 is: 298.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.72 : 330.54 = 216.40 : x
  2. Step 2: Convert to fraction form
    239.72/330.54 = 216.40/x
  3. Step 3: Cross multiply
    239.72x = 330.54 × 216.40
  4. Step 4: Simplify right side
    239.72x = 71,528.86
  5. Step 5: Solve for x
    x = 71,528.86/239.72
  6. Step 6: Final answer
    x = 298.39

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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.