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Finding the Fourth Proportional to 392.38, 590.86 and 290.38

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Solution

The fourth proportional to 392.38, 590.86 and 290.38 is: 437.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.38 : 590.86 = 290.38 : x
  2. Step 2: Convert to fraction form
    392.38/590.86 = 290.38/x
  3. Step 3: Cross multiply
    392.38x = 590.86 × 290.38
  4. Step 4: Simplify right side
    392.38x = 171,569.52
  5. Step 5: Solve for x
    x = 171,569.52/392.38
  6. Step 6: Final answer
    x = 437.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.