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Finding the Fourth Proportional to 238.64, 355.66 and 233.84

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Solution

The fourth proportional to 238.64, 355.66 and 233.84 is: 348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.64 : 355.66 = 233.84 : x
  2. Step 2: Convert to fraction form
    238.64/355.66 = 233.84/x
  3. Step 3: Cross multiply
    238.64x = 355.66 × 233.84
  4. Step 4: Simplify right side
    238.64x = 83,167.53
  5. Step 5: Solve for x
    x = 83,167.53/238.64
  6. Step 6: Final answer
    x = 348.51

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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.