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Finding the Fourth Proportional to 308.93, 463.40 and 92.51

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Solution

The fourth proportional to 308.93, 463.40 and 92.51 is: 138.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.93 : 463.40 = 92.51 : x
  2. Step 2: Convert to fraction form
    308.93/463.40 = 92.51/x
  3. Step 3: Cross multiply
    308.93x = 463.40 × 92.51
  4. Step 4: Simplify right side
    308.93x = 42,866.35
  5. Step 5: Solve for x
    x = 42,866.35/308.93
  6. Step 6: Final answer
    x = 138.76

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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.