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Finding the Fourth Proportional to 262.17, 361.40 and 215.33

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Solution

The fourth proportional to 262.17, 361.40 and 215.33 is: 296.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.17 : 361.40 = 215.33 : x
  2. Step 2: Convert to fraction form
    262.17/361.40 = 215.33/x
  3. Step 3: Cross multiply
    262.17x = 361.40 × 215.33
  4. Step 4: Simplify right side
    262.17x = 77,817.38
  5. Step 5: Solve for x
    x = 77,817.38/262.17
  6. Step 6: Final answer
    x = 296.82

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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.