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Finding the Fourth Proportional to 317.85, 474.22 and 283.20

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Solution

The fourth proportional to 317.85, 474.22 and 283.20 is: 422.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.85 : 474.22 = 283.20 : x
  2. Step 2: Convert to fraction form
    317.85/474.22 = 283.20/x
  3. Step 3: Cross multiply
    317.85x = 474.22 × 283.20
  4. Step 4: Simplify right side
    317.85x = 134,299.10
  5. Step 5: Solve for x
    x = 134,299.10/317.85
  6. Step 6: Final answer
    x = 422.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.