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Finding the Fourth Proportional to 392.63, 591.23 and 290.63

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Solution

The fourth proportional to 392.63, 591.23 and 290.63 is: 437.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.63 : 591.23 = 290.63 : x
  2. Step 2: Convert to fraction form
    392.63/591.23 = 290.63/x
  3. Step 3: Cross multiply
    392.63x = 591.23 × 290.63
  4. Step 4: Simplify right side
    392.63x = 171,829.20
  5. Step 5: Solve for x
    x = 171,829.20/392.63
  6. Step 6: Final answer
    x = 437.64

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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.