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Finding the Fourth Proportional to 193.38, 291.18 and 142.35

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Solution

The fourth proportional to 193.38, 291.18 and 142.35 is: 214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.38 : 291.18 = 142.35 : x
  2. Step 2: Convert to fraction form
    193.38/291.18 = 142.35/x
  3. Step 3: Cross multiply
    193.38x = 291.18 × 142.35
  4. Step 4: Simplify right side
    193.38x = 41,449.47
  5. Step 5: Solve for x
    x = 41,449.47/193.38
  6. Step 6: Final answer
    x = 214.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.