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Finding the Fourth Proportional to 349.34, 521.59 and 345.88

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Solution

The fourth proportional to 349.34, 521.59 and 345.88 is: 516.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.34 : 521.59 = 345.88 : x
  2. Step 2: Convert to fraction form
    349.34/521.59 = 345.88/x
  3. Step 3: Cross multiply
    349.34x = 521.59 × 345.88
  4. Step 4: Simplify right side
    349.34x = 180,407.55
  5. Step 5: Solve for x
    x = 180,407.55/349.34
  6. Step 6: Final answer
    x = 516.42

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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.