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Finding the Fourth Proportional to 345.06, 476.17 and 197.67

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Solution

The fourth proportional to 345.06, 476.17 and 197.67 is: 272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.06 : 476.17 = 197.67 : x
  2. Step 2: Convert to fraction form
    345.06/476.17 = 197.67/x
  3. Step 3: Cross multiply
    345.06x = 476.17 × 197.67
  4. Step 4: Simplify right side
    345.06x = 94,121.52
  5. Step 5: Solve for x
    x = 94,121.52/345.06
  6. Step 6: Final answer
    x = 272.77

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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.