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Finding the Fourth Proportional to 400.48, 552 and 301.76

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Solution

The fourth proportional to 400.48, 552 and 301.76 is: 415.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.48 : 552 = 301.76 : x
  2. Step 2: Convert to fraction form
    400.48/552 = 301.76/x
  3. Step 3: Cross multiply
    400.48x = 552 × 301.76
  4. Step 4: Simplify right side
    400.48x = 166,571.52
  5. Step 5: Solve for x
    x = 166,571.52/400.48
  6. Step 6: Final answer
    x = 415.93

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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.