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Finding the Fourth Proportional to 317.08, 477.43 and 221.50

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Solution

The fourth proportional to 317.08, 477.43 and 221.50 is: 333.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.08 : 477.43 = 221.50 : x
  2. Step 2: Convert to fraction form
    317.08/477.43 = 221.50/x
  3. Step 3: Cross multiply
    317.08x = 477.43 × 221.50
  4. Step 4: Simplify right side
    317.08x = 105,750.75
  5. Step 5: Solve for x
    x = 105,750.75/317.08
  6. Step 6: Final answer
    x = 333.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.