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Finding the Fourth Proportional to 231.46, 317.61 and 210.58

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Solution

The fourth proportional to 231.46, 317.61 and 210.58 is: 288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.46 : 317.61 = 210.58 : x
  2. Step 2: Convert to fraction form
    231.46/317.61 = 210.58/x
  3. Step 3: Cross multiply
    231.46x = 317.61 × 210.58
  4. Step 4: Simplify right side
    231.46x = 66,881.52
  5. Step 5: Solve for x
    x = 66,881.52/231.46
  6. Step 6: Final answer
    x = 288.96

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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.