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Finding the Fourth Proportional to 309.11, 463.65 and 92.63

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Solution

The fourth proportional to 309.11, 463.65 and 92.63 is: 138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.11 : 463.65 = 92.63 : x
  2. Step 2: Convert to fraction form
    309.11/463.65 = 92.63/x
  3. Step 3: Cross multiply
    309.11x = 463.65 × 92.63
  4. Step 4: Simplify right side
    309.11x = 42,945.58
  5. Step 5: Solve for x
    x = 42,945.58/309.11
  6. Step 6: Final answer
    x = 138.94

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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.