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Finding the Fourth Proportional to 262.64, 395.46 and 232.40

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Solution

The fourth proportional to 262.64, 395.46 and 232.40 is: 349.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.64 : 395.46 = 232.40 : x
  2. Step 2: Convert to fraction form
    262.64/395.46 = 232.40/x
  3. Step 3: Cross multiply
    262.64x = 395.46 × 232.40
  4. Step 4: Simplify right side
    262.64x = 91,904.90
  5. Step 5: Solve for x
    x = 91,904.90/262.64
  6. Step 6: Final answer
    x = 349.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.