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Finding the Fourth Proportional to 230.77, 317.81 and 165.16

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Solution

The fourth proportional to 230.77, 317.81 and 165.16 is: 227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.77 : 317.81 = 165.16 : x
  2. Step 2: Convert to fraction form
    230.77/317.81 = 165.16/x
  3. Step 3: Cross multiply
    230.77x = 317.81 × 165.16
  4. Step 4: Simplify right side
    230.77x = 52,487.08
  5. Step 5: Solve for x
    x = 52,487.08/230.77
  6. Step 6: Final answer
    x = 227.45

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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.