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Finding the Fourth Proportional to 392.82, 591.51 and 290.82

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Solution

The fourth proportional to 392.82, 591.51 and 290.82 is: 437.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.82 : 591.51 = 290.82 : x
  2. Step 2: Convert to fraction form
    392.82/591.51 = 290.82/x
  3. Step 3: Cross multiply
    392.82x = 591.51 × 290.82
  4. Step 4: Simplify right side
    392.82x = 172,024.61
  5. Step 5: Solve for x
    x = 172,024.61/392.82
  6. Step 6: Final answer
    x = 437.93

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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.