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Finding the Fourth Proportional to 317.83, 437.79 and 229.18

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Solution

The fourth proportional to 317.83, 437.79 and 229.18 is: 315.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.83 : 437.79 = 229.18 : x
  2. Step 2: Convert to fraction form
    317.83/437.79 = 229.18/x
  3. Step 3: Cross multiply
    317.83x = 437.79 × 229.18
  4. Step 4: Simplify right side
    317.83x = 100,332.71
  5. Step 5: Solve for x
    x = 100,332.71/317.83
  6. Step 6: Final answer
    x = 315.68

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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.