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Finding the Fourth Proportional to 395.52, 590.98 and 342.88

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Solution

The fourth proportional to 395.52, 590.98 and 342.88 is: 512.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.52 : 590.98 = 342.88 : x
  2. Step 2: Convert to fraction form
    395.52/590.98 = 342.88/x
  3. Step 3: Cross multiply
    395.52x = 590.98 × 342.88
  4. Step 4: Simplify right side
    395.52x = 202,635.22
  5. Step 5: Solve for x
    x = 202,635.22/395.52
  6. Step 6: Final answer
    x = 512.33

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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.