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Finding the Fourth Proportional to 400.05, 551.95 and 242.74

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Solution

The fourth proportional to 400.05, 551.95 and 242.74 is: 334.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.05 : 551.95 = 242.74 : x
  2. Step 2: Convert to fraction form
    400.05/551.95 = 242.74/x
  3. Step 3: Cross multiply
    400.05x = 551.95 × 242.74
  4. Step 4: Simplify right side
    400.05x = 133,980.34
  5. Step 5: Solve for x
    x = 133,980.34/400.05
  6. Step 6: Final answer
    x = 334.91

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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.