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Finding the Fourth Proportional to 381.79, 570.56 and 345.34

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Solution

The fourth proportional to 381.79, 570.56 and 345.34 is: 516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.79 : 570.56 = 345.34 : x
  2. Step 2: Convert to fraction form
    381.79/570.56 = 345.34/x
  3. Step 3: Cross multiply
    381.79x = 570.56 × 345.34
  4. Step 4: Simplify right side
    381.79x = 197,037.19
  5. Step 5: Solve for x
    x = 197,037.19/381.79
  6. Step 6: Final answer
    x = 516.09

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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.