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Finding the Fourth Proportional to 262.89, 392.25 and 235.53

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Solution

The fourth proportional to 262.89, 392.25 and 235.53 is: 351.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.89 : 392.25 = 235.53 : x
  2. Step 2: Convert to fraction form
    262.89/392.25 = 235.53/x
  3. Step 3: Cross multiply
    262.89x = 392.25 × 235.53
  4. Step 4: Simplify right side
    262.89x = 92,386.64
  5. Step 5: Solve for x
    x = 92,386.64/262.89
  6. Step 6: Final answer
    x = 351.43

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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.