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Finding the Fourth Proportional to 229.56, 317.25 and 188.05

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Solution

The fourth proportional to 229.56, 317.25 and 188.05 is: 259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.56 : 317.25 = 188.05 : x
  2. Step 2: Convert to fraction form
    229.56/317.25 = 188.05/x
  3. Step 3: Cross multiply
    229.56x = 317.25 × 188.05
  4. Step 4: Simplify right side
    229.56x = 59,657.60
  5. Step 5: Solve for x
    x = 59,657.60/229.56
  6. Step 6: Final answer
    x = 259.88

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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.