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Finding the Fourth Proportional to 398.63, 595.13 and 340.87

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Solution

The fourth proportional to 398.63, 595.13 and 340.87 is: 508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.63 : 595.13 = 340.87 : x
  2. Step 2: Convert to fraction form
    398.63/595.13 = 340.87/x
  3. Step 3: Cross multiply
    398.63x = 595.13 × 340.87
  4. Step 4: Simplify right side
    398.63x = 202,861.33
  5. Step 5: Solve for x
    x = 202,861.33/398.63
  6. Step 6: Final answer
    x = 508.90

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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.