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Finding the Fourth Proportional to 239.98, 358.29 and 212.71

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Solution

The fourth proportional to 239.98, 358.29 and 212.71 is: 317.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.98 : 358.29 = 212.71 : x
  2. Step 2: Convert to fraction form
    239.98/358.29 = 212.71/x
  3. Step 3: Cross multiply
    239.98x = 358.29 × 212.71
  4. Step 4: Simplify right side
    239.98x = 76,211.87
  5. Step 5: Solve for x
    x = 76,211.87/239.98
  6. Step 6: Final answer
    x = 317.58

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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.