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Finding the Fourth Proportional to 231.43, 317.57 and 210.54

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Solution

The fourth proportional to 231.43, 317.57 and 210.54 is: 288.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.43 : 317.57 = 210.54 : x
  2. Step 2: Convert to fraction form
    231.43/317.57 = 210.54/x
  3. Step 3: Cross multiply
    231.43x = 317.57 × 210.54
  4. Step 4: Simplify right side
    231.43x = 66,860.14
  5. Step 5: Solve for x
    x = 66,860.14/231.43
  6. Step 6: Final answer
    x = 288.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.