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Finding the Fourth Proportional to 358.16, 537.69 and 304.39

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Solution

The fourth proportional to 358.16, 537.69 and 304.39 is: 456.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.16 : 537.69 = 304.39 : x
  2. Step 2: Convert to fraction form
    358.16/537.69 = 304.39/x
  3. Step 3: Cross multiply
    358.16x = 537.69 × 304.39
  4. Step 4: Simplify right side
    358.16x = 163,667.56
  5. Step 5: Solve for x
    x = 163,667.56/358.16
  6. Step 6: Final answer
    x = 456.97

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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.