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Finding the Fourth Proportional to 231.87, 346.08 and 204.51

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Solution

The fourth proportional to 231.87, 346.08 and 204.51 is: 305.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.87 : 346.08 = 204.51 : x
  2. Step 2: Convert to fraction form
    231.87/346.08 = 204.51/x
  3. Step 3: Cross multiply
    231.87x = 346.08 × 204.51
  4. Step 4: Simplify right side
    231.87x = 70,776.82
  5. Step 5: Solve for x
    x = 70,776.82/231.87
  6. Step 6: Final answer
    x = 305.24

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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.