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Finding the Fourth Proportional to 395.71, 590.78 and 356.83

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Solution

The fourth proportional to 395.71, 590.78 and 356.83 is: 532.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.71 : 590.78 = 356.83 : x
  2. Step 2: Convert to fraction form
    395.71/590.78 = 356.83/x
  3. Step 3: Cross multiply
    395.71x = 590.78 × 356.83
  4. Step 4: Simplify right side
    395.71x = 210,807.44
  5. Step 5: Solve for x
    x = 210,807.44/395.71
  6. Step 6: Final answer
    x = 532.74

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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.