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Finding the Fourth Proportional to 294.10, 405.93 and 194.65

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Solution

The fourth proportional to 294.10, 405.93 and 194.65 is: 268.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.10 : 405.93 = 194.65 : x
  2. Step 2: Convert to fraction form
    294.10/405.93 = 194.65/x
  3. Step 3: Cross multiply
    294.10x = 405.93 × 194.65
  4. Step 4: Simplify right side
    294.10x = 79,014.27
  5. Step 5: Solve for x
    x = 79,014.27/294.10
  6. Step 6: Final answer
    x = 268.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.