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Finding the Fourth Proportional to 345.07, 476.11 and 197.65

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Solution

The fourth proportional to 345.07, 476.11 and 197.65 is: 272.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.07 : 476.11 = 197.65 : x
  2. Step 2: Convert to fraction form
    345.07/476.11 = 197.65/x
  3. Step 3: Cross multiply
    345.07x = 476.11 × 197.65
  4. Step 4: Simplify right side
    345.07x = 94,103.14
  5. Step 5: Solve for x
    x = 94,103.14/345.07
  6. Step 6: Final answer
    x = 272.71

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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.