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Finding the Fourth Proportional to 378.38, 521.48 and 260.36

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Solution

The fourth proportional to 378.38, 521.48 and 260.36 is: 358.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.38 : 521.48 = 260.36 : x
  2. Step 2: Convert to fraction form
    378.38/521.48 = 260.36/x
  3. Step 3: Cross multiply
    378.38x = 521.48 × 260.36
  4. Step 4: Simplify right side
    378.38x = 135,771.23
  5. Step 5: Solve for x
    x = 135,771.23/378.38
  6. Step 6: Final answer
    x = 358.82

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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.