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Finding the Fourth Proportional to 259.91, 358.31 and 213.06

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Solution

The fourth proportional to 259.91, 358.31 and 213.06 is: 293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.91 : 358.31 = 213.06 : x
  2. Step 2: Convert to fraction form
    259.91/358.31 = 213.06/x
  3. Step 3: Cross multiply
    259.91x = 358.31 × 213.06
  4. Step 4: Simplify right side
    259.91x = 76,341.53
  5. Step 5: Solve for x
    x = 76,341.53/259.91
  6. Step 6: Final answer
    x = 293.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.