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Finding the Fourth Proportional to 392.93, 586.83 and 356.29

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Solution

The fourth proportional to 392.93, 586.83 and 356.29 is: 532.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.93 : 586.83 = 356.29 : x
  2. Step 2: Convert to fraction form
    392.93/586.83 = 356.29/x
  3. Step 3: Cross multiply
    392.93x = 586.83 × 356.29
  4. Step 4: Simplify right side
    392.93x = 209,081.66
  5. Step 5: Solve for x
    x = 209,081.66/392.93
  6. Step 6: Final answer
    x = 532.11

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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.