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Finding the Fourth Proportional to 228.61, 344.71 and 209.47

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Solution

The fourth proportional to 228.61, 344.71 and 209.47 is: 315.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.61 : 344.71 = 209.47 : x
  2. Step 2: Convert to fraction form
    228.61/344.71 = 209.47/x
  3. Step 3: Cross multiply
    228.61x = 344.71 × 209.47
  4. Step 4: Simplify right side
    228.61x = 72,207.39
  5. Step 5: Solve for x
    x = 72,207.39/228.61
  6. Step 6: Final answer
    x = 315.85

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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.