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Finding the Fourth Proportional to 400.13, 551.87 and 275.99

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Solution

The fourth proportional to 400.13, 551.87 and 275.99 is: 380.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.13 : 551.87 = 275.99 : x
  2. Step 2: Convert to fraction form
    400.13/551.87 = 275.99/x
  3. Step 3: Cross multiply
    400.13x = 551.87 × 275.99
  4. Step 4: Simplify right side
    400.13x = 152,311.64
  5. Step 5: Solve for x
    x = 152,311.64/400.13
  6. Step 6: Final answer
    x = 380.66

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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.