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Finding the Fourth Proportional to 596.50, 895.14 and 211.78

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Solution

The fourth proportional to 596.50, 895.14 and 211.78 is: 317.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.50 : 895.14 = 211.78 : x
  2. Step 2: Convert to fraction form
    596.50/895.14 = 211.78/x
  3. Step 3: Cross multiply
    596.50x = 895.14 × 211.78
  4. Step 4: Simplify right side
    596.50x = 189,572.75
  5. Step 5: Solve for x
    x = 189,572.75/596.50
  6. Step 6: Final answer
    x = 317.81

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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.