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Finding the Fourth Proportional to 285.95, 394.94 and 188.15

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Solution

The fourth proportional to 285.95, 394.94 and 188.15 is: 259.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.95 : 394.94 = 188.15 : x
  2. Step 2: Convert to fraction form
    285.95/394.94 = 188.15/x
  3. Step 3: Cross multiply
    285.95x = 394.94 × 188.15
  4. Step 4: Simplify right side
    285.95x = 74,306.46
  5. Step 5: Solve for x
    x = 74,306.46/285.95
  6. Step 6: Final answer
    x = 259.86

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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.