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Finding the Fourth Proportional to 393.95, 591.15 and 188.50

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Solution

The fourth proportional to 393.95, 591.15 and 188.50 is: 282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.95 : 591.15 = 188.50 : x
  2. Step 2: Convert to fraction form
    393.95/591.15 = 188.50/x
  3. Step 3: Cross multiply
    393.95x = 591.15 × 188.50
  4. Step 4: Simplify right side
    393.95x = 111,427.88
  5. Step 5: Solve for x
    x = 111,427.88/393.95
  6. Step 6: Final answer
    x = 282.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.