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Finding the Fourth Proportional to 317.57, 437.86 and 224.17

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Solution

The fourth proportional to 317.57, 437.86 and 224.17 is: 309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.57 : 437.86 = 224.17 : x
  2. Step 2: Convert to fraction form
    317.57/437.86 = 224.17/x
  3. Step 3: Cross multiply
    317.57x = 437.86 × 224.17
  4. Step 4: Simplify right side
    317.57x = 98,153.00
  5. Step 5: Solve for x
    x = 98,153.00/317.57
  6. Step 6: Final answer
    x = 309.07

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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.