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Finding the Fourth Proportional to 358.06, 534.56 and 323.50

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Solution

The fourth proportional to 358.06, 534.56 and 323.50 is: 482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.06 : 534.56 = 323.50 : x
  2. Step 2: Convert to fraction form
    358.06/534.56 = 323.50/x
  3. Step 3: Cross multiply
    358.06x = 534.56 × 323.50
  4. Step 4: Simplify right side
    358.06x = 172,930.16
  5. Step 5: Solve for x
    x = 172,930.16/358.06
  6. Step 6: Final answer
    x = 482.96

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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.