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Finding the Fourth Proportional to 342.20, 509.43 and 340.18

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Solution

The fourth proportional to 342.20, 509.43 and 340.18 is: 506.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.20 : 509.43 = 340.18 : x
  2. Step 2: Convert to fraction form
    342.20/509.43 = 340.18/x
  3. Step 3: Cross multiply
    342.20x = 509.43 × 340.18
  4. Step 4: Simplify right side
    342.20x = 173,297.90
  5. Step 5: Solve for x
    x = 173,297.90/342.20
  6. Step 6: Final answer
    x = 506.42

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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.