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Finding the Fourth Proportional to 317.78, 477.02 and 187.94

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Solution

The fourth proportional to 317.78, 477.02 and 187.94 is: 282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.78 : 477.02 = 187.94 : x
  2. Step 2: Convert to fraction form
    317.78/477.02 = 187.94/x
  3. Step 3: Cross multiply
    317.78x = 477.02 × 187.94
  4. Step 4: Simplify right side
    317.78x = 89,651.14
  5. Step 5: Solve for x
    x = 89,651.14/317.78
  6. Step 6: Final answer
    x = 282.12

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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.