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Finding the Fourth Proportional to 400, 551.89 and 242.72

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Solution

The fourth proportional to 400, 551.89 and 242.72 is: 334.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    400 : 551.89 = 242.72 : x
  2. Step 2: Convert to fraction form
    400/551.89 = 242.72/x
  3. Step 3: Cross multiply
    400x = 551.89 × 242.72
  4. Step 4: Simplify right side
    400x = 133,954.74
  5. Step 5: Solve for x
    x = 133,954.74/400
  6. Step 6: Final answer
    x = 334.89

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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.