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Finding the Fourth Proportional to 356.20, 488.49 and 341.42

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Solution

The fourth proportional to 356.20, 488.49 and 341.42 is: 468.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.20 : 488.49 = 341.42 : x
  2. Step 2: Convert to fraction form
    356.20/488.49 = 341.42/x
  3. Step 3: Cross multiply
    356.20x = 488.49 × 341.42
  4. Step 4: Simplify right side
    356.20x = 166,780.26
  5. Step 5: Solve for x
    x = 166,780.26/356.20
  6. Step 6: Final answer
    x = 468.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.