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Finding the Fourth Proportional to 317.16, 437.46 and 250.68

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Solution

The fourth proportional to 317.16, 437.46 and 250.68 is: 345.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.16 : 437.46 = 250.68 : x
  2. Step 2: Convert to fraction form
    317.16/437.46 = 250.68/x
  3. Step 3: Cross multiply
    317.16x = 437.46 × 250.68
  4. Step 4: Simplify right side
    317.16x = 109,662.47
  5. Step 5: Solve for x
    x = 109,662.47/317.16
  6. Step 6: Final answer
    x = 345.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.