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Finding the Fourth Proportional to 233.40, 348.07 and 199.38

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Solution

The fourth proportional to 233.40, 348.07 and 199.38 is: 297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.40 : 348.07 = 199.38 : x
  2. Step 2: Convert to fraction form
    233.40/348.07 = 199.38/x
  3. Step 3: Cross multiply
    233.40x = 348.07 × 199.38
  4. Step 4: Simplify right side
    233.40x = 69,398.20
  5. Step 5: Solve for x
    x = 69,398.20/233.40
  6. Step 6: Final answer
    x = 297.34

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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.