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Finding the Fourth Proportional to 400.77, 553.13 and 253.48

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Solution

The fourth proportional to 400.77, 553.13 and 253.48 is: 349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.77 : 553.13 = 253.48 : x
  2. Step 2: Convert to fraction form
    400.77/553.13 = 253.48/x
  3. Step 3: Cross multiply
    400.77x = 553.13 × 253.48
  4. Step 4: Simplify right side
    400.77x = 140,207.39
  5. Step 5: Solve for x
    x = 140,207.39/400.77
  6. Step 6: Final answer
    x = 349.85

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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.