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Finding the Fourth Proportional to 262.30, 360.35 and 213.04

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Solution

The fourth proportional to 262.30, 360.35 and 213.04 is: 292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.30 : 360.35 = 213.04 : x
  2. Step 2: Convert to fraction form
    262.30/360.35 = 213.04/x
  3. Step 3: Cross multiply
    262.30x = 360.35 × 213.04
  4. Step 4: Simplify right side
    262.30x = 76,768.96
  5. Step 5: Solve for x
    x = 76,768.96/262.30
  6. Step 6: Final answer
    x = 292.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.