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Finding the Fourth Proportional to 342.10, 511.94 and 197.11

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Solution

The fourth proportional to 342.10, 511.94 and 197.11 is: 294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.10 : 511.94 = 197.11 : x
  2. Step 2: Convert to fraction form
    342.10/511.94 = 197.11/x
  3. Step 3: Cross multiply
    342.10x = 511.94 × 197.11
  4. Step 4: Simplify right side
    342.10x = 100,907.51
  5. Step 5: Solve for x
    x = 100,907.51/342.10
  6. Step 6: Final answer
    x = 294.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.