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Finding the Fourth Proportional to 224.04, 337.78 and 208.38

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Solution

The fourth proportional to 224.04, 337.78 and 208.38 is: 314.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.04 : 337.78 = 208.38 : x
  2. Step 2: Convert to fraction form
    224.04/337.78 = 208.38/x
  3. Step 3: Cross multiply
    224.04x = 337.78 × 208.38
  4. Step 4: Simplify right side
    224.04x = 70,386.60
  5. Step 5: Solve for x
    x = 70,386.60/224.04
  6. Step 6: Final answer
    x = 314.17

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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.