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Finding the Fourth Proportional to 392.67, 591.30 and 290.68

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Solution

The fourth proportional to 392.67, 591.30 and 290.68 is: 437.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.67 : 591.30 = 290.68 : x
  2. Step 2: Convert to fraction form
    392.67/591.30 = 290.68/x
  3. Step 3: Cross multiply
    392.67x = 591.30 × 290.68
  4. Step 4: Simplify right side
    392.67x = 171,876.77
  5. Step 5: Solve for x
    x = 171,876.77/392.67
  6. Step 6: Final answer
    x = 437.71

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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.