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Finding the Fourth Proportional to 392.02, 584.86 and 356.65

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Solution

The fourth proportional to 392.02, 584.86 and 356.65 is: 532.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.02 : 584.86 = 356.65 : x
  2. Step 2: Convert to fraction form
    392.02/584.86 = 356.65/x
  3. Step 3: Cross multiply
    392.02x = 584.86 × 356.65
  4. Step 4: Simplify right side
    392.02x = 208,590.32
  5. Step 5: Solve for x
    x = 208,590.32/392.02
  6. Step 6: Final answer
    x = 532.09

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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.