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Finding the Fourth Proportional to 262.14, 390.61 and 233.43

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Solution

The fourth proportional to 262.14, 390.61 and 233.43 is: 347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.14 : 390.61 = 233.43 : x
  2. Step 2: Convert to fraction form
    262.14/390.61 = 233.43/x
  3. Step 3: Cross multiply
    262.14x = 390.61 × 233.43
  4. Step 4: Simplify right side
    262.14x = 91,176.97
  5. Step 5: Solve for x
    x = 91,176.97/262.14
  6. Step 6: Final answer
    x = 347.82

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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.