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Finding the Fourth Proportional to 233.84, 348.78 and 199.20

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Solution

The fourth proportional to 233.84, 348.78 and 199.20 is: 297.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.84 : 348.78 = 199.20 : x
  2. Step 2: Convert to fraction form
    233.84/348.78 = 199.20/x
  3. Step 3: Cross multiply
    233.84x = 348.78 × 199.20
  4. Step 4: Simplify right side
    233.84x = 69,476.98
  5. Step 5: Solve for x
    x = 69,476.98/233.84
  6. Step 6: Final answer
    x = 297.12

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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.