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Finding the Fourth Proportional to 312.15, 466.29 and 231.15

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Solution

The fourth proportional to 312.15, 466.29 and 231.15 is: 345.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.15 : 466.29 = 231.15 : x
  2. Step 2: Convert to fraction form
    312.15/466.29 = 231.15/x
  3. Step 3: Cross multiply
    312.15x = 466.29 × 231.15
  4. Step 4: Simplify right side
    312.15x = 107,782.93
  5. Step 5: Solve for x
    x = 107,782.93/312.15
  6. Step 6: Final answer
    x = 345.29

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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.