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Finding the Fourth Proportional to 378.48, 521.48 and 290.96

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Solution

The fourth proportional to 378.48, 521.48 and 290.96 is: 400.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.48 : 521.48 = 290.96 : x
  2. Step 2: Convert to fraction form
    378.48/521.48 = 290.96/x
  3. Step 3: Cross multiply
    378.48x = 521.48 × 290.96
  4. Step 4: Simplify right side
    378.48x = 151,729.82
  5. Step 5: Solve for x
    x = 151,729.82/378.48
  6. Step 6: Final answer
    x = 400.89

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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.