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Finding the Fourth Proportional to 399.47, 551.21 and 242.12

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Solution

The fourth proportional to 399.47, 551.21 and 242.12 is: 334.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.47 : 551.21 = 242.12 : x
  2. Step 2: Convert to fraction form
    399.47/551.21 = 242.12/x
  3. Step 3: Cross multiply
    399.47x = 551.21 × 242.12
  4. Step 4: Simplify right side
    399.47x = 133,459.13
  5. Step 5: Solve for x
    x = 133,459.13/399.47
  6. Step 6: Final answer
    x = 334.09

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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.