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Finding the Fourth Proportional to 239.76, 357.62 and 233.28

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Solution

The fourth proportional to 239.76, 357.62 and 233.28 is: 347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.76 : 357.62 = 233.28 : x
  2. Step 2: Convert to fraction form
    239.76/357.62 = 233.28/x
  3. Step 3: Cross multiply
    239.76x = 357.62 × 233.28
  4. Step 4: Simplify right side
    239.76x = 83,424.43
  5. Step 5: Solve for x
    x = 83,424.43/239.76
  6. Step 6: Final answer
    x = 347.95

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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.