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Finding the Fourth Proportional to 317.46, 477.90 and 289.20

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Solution

The fourth proportional to 317.46, 477.90 and 289.20 is: 435.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.46 : 477.90 = 289.20 : x
  2. Step 2: Convert to fraction form
    317.46/477.90 = 289.20/x
  3. Step 3: Cross multiply
    317.46x = 477.90 × 289.20
  4. Step 4: Simplify right side
    317.46x = 138,208.68
  5. Step 5: Solve for x
    x = 138,208.68/317.46
  6. Step 6: Final answer
    x = 435.36

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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.