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Finding the Fourth Proportional to 230.20, 317.28 and 156.48

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Solution

The fourth proportional to 230.20, 317.28 and 156.48 is: 215.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.20 : 317.28 = 156.48 : x
  2. Step 2: Convert to fraction form
    230.20/317.28 = 156.48/x
  3. Step 3: Cross multiply
    230.20x = 317.28 × 156.48
  4. Step 4: Simplify right side
    230.20x = 49,647.97
  5. Step 5: Solve for x
    x = 49,647.97/230.20
  6. Step 6: Final answer
    x = 215.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.