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Finding the Fourth Proportional to 399.77, 551.90 and 275.21

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Solution

The fourth proportional to 399.77, 551.90 and 275.21 is: 379.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.77 : 551.90 = 275.21 : x
  2. Step 2: Convert to fraction form
    399.77/551.90 = 275.21/x
  3. Step 3: Cross multiply
    399.77x = 551.90 × 275.21
  4. Step 4: Simplify right side
    399.77x = 151,887.02
  5. Step 5: Solve for x
    x = 151,887.02/399.77
  6. Step 6: Final answer
    x = 379.94

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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.