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Finding the Fourth Proportional to 341.43, 511.81 and 146.56

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Solution

The fourth proportional to 341.43, 511.81 and 146.56 is: 219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.43 : 511.81 = 146.56 : x
  2. Step 2: Convert to fraction form
    341.43/511.81 = 146.56/x
  3. Step 3: Cross multiply
    341.43x = 511.81 × 146.56
  4. Step 4: Simplify right side
    341.43x = 75,010.87
  5. Step 5: Solve for x
    x = 75,010.87/341.43
  6. Step 6: Final answer
    x = 219.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.