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Finding the Fourth Proportional to 262.68, 392.23 and 235.08

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Solution

The fourth proportional to 262.68, 392.23 and 235.08 is: 351.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.68 : 392.23 = 235.08 : x
  2. Step 2: Convert to fraction form
    262.68/392.23 = 235.08/x
  3. Step 3: Cross multiply
    262.68x = 392.23 × 235.08
  4. Step 4: Simplify right side
    262.68x = 92,205.43
  5. Step 5: Solve for x
    x = 92,205.43/262.68
  6. Step 6: Final answer
    x = 351.02

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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.