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Finding the Fourth Proportional to 345.73, 477 and 205.90

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Solution

The fourth proportional to 345.73, 477 and 205.90 is: 284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.73 : 477 = 205.90 : x
  2. Step 2: Convert to fraction form
    345.73/477 = 205.90/x
  3. Step 3: Cross multiply
    345.73x = 477 × 205.90
  4. Step 4: Simplify right side
    345.73x = 98,214.30
  5. Step 5: Solve for x
    x = 98,214.30/345.73
  6. Step 6: Final answer
    x = 284.08

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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.