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Finding the Fourth Proportional to 285.95, 394.50 and 202.05

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Solution

The fourth proportional to 285.95, 394.50 and 202.05 is: 278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.95 : 394.50 = 202.05 : x
  2. Step 2: Convert to fraction form
    285.95/394.50 = 202.05/x
  3. Step 3: Cross multiply
    285.95x = 394.50 × 202.05
  4. Step 4: Simplify right side
    285.95x = 79,708.73
  5. Step 5: Solve for x
    x = 79,708.73/285.95
  6. Step 6: Final answer
    x = 278.75

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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.