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Finding the Fourth Proportional to 231.48, 319.29 and 148.46

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Solution

The fourth proportional to 231.48, 319.29 and 148.46 is: 204.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.48 : 319.29 = 148.46 : x
  2. Step 2: Convert to fraction form
    231.48/319.29 = 148.46/x
  3. Step 3: Cross multiply
    231.48x = 319.29 × 148.46
  4. Step 4: Simplify right side
    231.48x = 47,400.48
  5. Step 5: Solve for x
    x = 47,400.48/231.48
  6. Step 6: Final answer
    x = 204.77

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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.