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Finding the Fourth Proportional to 262.64, 391.35 and 233.93

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Solution

The fourth proportional to 262.64, 391.35 and 233.93 is: 348.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.64 : 391.35 = 233.93 : x
  2. Step 2: Convert to fraction form
    262.64/391.35 = 233.93/x
  3. Step 3: Cross multiply
    262.64x = 391.35 × 233.93
  4. Step 4: Simplify right side
    262.64x = 91,546.55
  5. Step 5: Solve for x
    x = 91,546.55/262.64
  6. Step 6: Final answer
    x = 348.57

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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.