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Finding the Fourth Proportional to 262.04, 360.78 and 213.08

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Solution

The fourth proportional to 262.04, 360.78 and 213.08 is: 293.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.04 : 360.78 = 213.08 : x
  2. Step 2: Convert to fraction form
    262.04/360.78 = 213.08/x
  3. Step 3: Cross multiply
    262.04x = 360.78 × 213.08
  4. Step 4: Simplify right side
    262.04x = 76,873.20
  5. Step 5: Solve for x
    x = 76,873.20/262.04
  6. Step 6: Final answer
    x = 293.37

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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.