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Finding the Fourth Proportional to 231.60, 348.80 and 210.18

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Solution

The fourth proportional to 231.60, 348.80 and 210.18 is: 316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.60 : 348.80 = 210.18 : x
  2. Step 2: Convert to fraction form
    231.60/348.80 = 210.18/x
  3. Step 3: Cross multiply
    231.60x = 348.80 × 210.18
  4. Step 4: Simplify right side
    231.60x = 73,309.73
  5. Step 5: Solve for x
    x = 73,309.73/231.60
  6. Step 6: Final answer
    x = 316.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.