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Finding the Fourth Proportional to 392.46, 585.30 and 374.24

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Solution

The fourth proportional to 392.46, 585.30 and 374.24 is: 558.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.46 : 585.30 = 374.24 : x
  2. Step 2: Convert to fraction form
    392.46/585.30 = 374.24/x
  3. Step 3: Cross multiply
    392.46x = 585.30 × 374.24
  4. Step 4: Simplify right side
    392.46x = 219,042.67
  5. Step 5: Solve for x
    x = 219,042.67/392.46
  6. Step 6: Final answer
    x = 558.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.