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Finding the Fourth Proportional to 230.95, 318.72 and 148.06

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Solution

The fourth proportional to 230.95, 318.72 and 148.06 is: 204.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.95 : 318.72 = 148.06 : x
  2. Step 2: Convert to fraction form
    230.95/318.72 = 148.06/x
  3. Step 3: Cross multiply
    230.95x = 318.72 × 148.06
  4. Step 4: Simplify right side
    230.95x = 47,189.68
  5. Step 5: Solve for x
    x = 47,189.68/230.95
  6. Step 6: Final answer
    x = 204.33

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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.