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Finding the Fourth Proportional to 227.59, 339.02 and 215.17

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Solution

The fourth proportional to 227.59, 339.02 and 215.17 is: 320.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.59 : 339.02 = 215.17 : x
  2. Step 2: Convert to fraction form
    227.59/339.02 = 215.17/x
  3. Step 3: Cross multiply
    227.59x = 339.02 × 215.17
  4. Step 4: Simplify right side
    227.59x = 72,946.93
  5. Step 5: Solve for x
    x = 72,946.93/227.59
  6. Step 6: Final answer
    x = 320.52

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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.