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Finding the Fourth Proportional to 311.66, 465.54 and 230.66

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Solution

The fourth proportional to 311.66, 465.54 and 230.66 is: 344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.66 : 465.54 = 230.66 : x
  2. Step 2: Convert to fraction form
    311.66/465.54 = 230.66/x
  3. Step 3: Cross multiply
    311.66x = 465.54 × 230.66
  4. Step 4: Simplify right side
    311.66x = 107,379.13
  5. Step 5: Solve for x
    x = 107,379.13/311.66
  6. Step 6: Final answer
    x = 344.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.