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Finding the Fourth Proportional to 290.57, 399.78 and 253.82

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Solution

The fourth proportional to 290.57, 399.78 and 253.82 is: 349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.57 : 399.78 = 253.82 : x
  2. Step 2: Convert to fraction form
    290.57/399.78 = 253.82/x
  3. Step 3: Cross multiply
    290.57x = 399.78 × 253.82
  4. Step 4: Simplify right side
    290.57x = 101,470.16
  5. Step 5: Solve for x
    x = 101,470.16/290.57
  6. Step 6: Final answer
    x = 349.21

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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.