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Finding the Fourth Proportional to 308, 461.64 and 294.32

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Solution

The fourth proportional to 308, 461.64 and 294.32 is: 441.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    308 : 461.64 = 294.32 : x
  2. Step 2: Convert to fraction form
    308/461.64 = 294.32/x
  3. Step 3: Cross multiply
    308x = 461.64 × 294.32
  4. Step 4: Simplify right side
    308x = 135,869.88
  5. Step 5: Solve for x
    x = 135,869.88/308
  6. Step 6: Final answer
    x = 441.14

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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.