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Finding the Fourth Proportional to 402.14, 599.96 and 340.58

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Solution

The fourth proportional to 402.14, 599.96 and 340.58 is: 508.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.14 : 599.96 = 340.58 : x
  2. Step 2: Convert to fraction form
    402.14/599.96 = 340.58/x
  3. Step 3: Cross multiply
    402.14x = 599.96 × 340.58
  4. Step 4: Simplify right side
    402.14x = 204,334.38
  5. Step 5: Solve for x
    x = 204,334.38/402.14
  6. Step 6: Final answer
    x = 508.12

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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.