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Finding the Fourth Proportional to 358.32, 534.08 and 346.47

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Solution

The fourth proportional to 358.32, 534.08 and 346.47 is: 516.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.32 : 534.08 = 346.47 : x
  2. Step 2: Convert to fraction form
    358.32/534.08 = 346.47/x
  3. Step 3: Cross multiply
    358.32x = 534.08 × 346.47
  4. Step 4: Simplify right side
    358.32x = 185,042.70
  5. Step 5: Solve for x
    x = 185,042.70/358.32
  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.