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Finding the Fourth Proportional to 366.76, 506.12 and 209.40

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Solution

The fourth proportional to 366.76, 506.12 and 209.40 is: 288.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.76 : 506.12 = 209.40 : x
  2. Step 2: Convert to fraction form
    366.76/506.12 = 209.40/x
  3. Step 3: Cross multiply
    366.76x = 506.12 × 209.40
  4. Step 4: Simplify right side
    366.76x = 105,981.53
  5. Step 5: Solve for x
    x = 105,981.53/366.76
  6. Step 6: Final answer
    x = 288.97

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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.