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Finding the Fourth Proportional to 393.75, 591.08 and 211.50

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Solution

The fourth proportional to 393.75, 591.08 and 211.50 is: 317.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.75 : 591.08 = 211.50 : x
  2. Step 2: Convert to fraction form
    393.75/591.08 = 211.50/x
  3. Step 3: Cross multiply
    393.75x = 591.08 × 211.50
  4. Step 4: Simplify right side
    393.75x = 125,013.42
  5. Step 5: Solve for x
    x = 125,013.42/393.75
  6. Step 6: Final answer
    x = 317.49

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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.