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Finding the Fourth Proportional to 274.86, 412.18 and 231.32

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Solution

The fourth proportional to 274.86, 412.18 and 231.32 is: 346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.86 : 412.18 = 231.32 : x
  2. Step 2: Convert to fraction form
    274.86/412.18 = 231.32/x
  3. Step 3: Cross multiply
    274.86x = 412.18 × 231.32
  4. Step 4: Simplify right side
    274.86x = 95,345.93
  5. Step 5: Solve for x
    x = 95,345.93/274.86
  6. Step 6: Final answer
    x = 346.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.