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Finding the Fourth Proportional to 342.46, 511.55 and 287.79

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Solution

The fourth proportional to 342.46, 511.55 and 287.79 is: 429.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.46 : 511.55 = 287.79 : x
  2. Step 2: Convert to fraction form
    342.46/511.55 = 287.79/x
  3. Step 3: Cross multiply
    342.46x = 511.55 × 287.79
  4. Step 4: Simplify right side
    342.46x = 147,218.97
  5. Step 5: Solve for x
    x = 147,218.97/342.46
  6. Step 6: Final answer
    x = 429.89

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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.