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Finding the Fourth Proportional to 399.66, 551.91 and 275.05

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Solution

The fourth proportional to 399.66, 551.91 and 275.05 is: 379.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.66 : 551.91 = 275.05 : x
  2. Step 2: Convert to fraction form
    399.66/551.91 = 275.05/x
  3. Step 3: Cross multiply
    399.66x = 551.91 × 275.05
  4. Step 4: Simplify right side
    399.66x = 151,801.46
  5. Step 5: Solve for x
    x = 151,801.46/399.66
  6. Step 6: Final answer
    x = 379.83

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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.