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Finding the Fourth Proportional to 345.67, 476.87 and 205.72

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Solution

The fourth proportional to 345.67, 476.87 and 205.72 is: 283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.67 : 476.87 = 205.72 : x
  2. Step 2: Convert to fraction form
    345.67/476.87 = 205.72/x
  3. Step 3: Cross multiply
    345.67x = 476.87 × 205.72
  4. Step 4: Simplify right side
    345.67x = 98,099.31
  5. Step 5: Solve for x
    x = 98,099.31/345.67
  6. Step 6: Final answer
    x = 283.79

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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.