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Finding the Fourth Proportional to 265.68, 396.90 and 233.28

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Solution

The fourth proportional to 265.68, 396.90 and 233.28 is: 348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.68 : 396.90 = 233.28 : x
  2. Step 2: Convert to fraction form
    265.68/396.90 = 233.28/x
  3. Step 3: Cross multiply
    265.68x = 396.90 × 233.28
  4. Step 4: Simplify right side
    265.68x = 92,588.83
  5. Step 5: Solve for x
    x = 92,588.83/265.68
  6. Step 6: Final answer
    x = 348.50

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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.