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Finding the Fourth Proportional to 309.46, 464.10 and 92.92

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Solution

The fourth proportional to 309.46, 464.10 and 92.92 is: 139.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.46 : 464.10 = 92.92 : x
  2. Step 2: Convert to fraction form
    309.46/464.10 = 92.92/x
  3. Step 3: Cross multiply
    309.46x = 464.10 × 92.92
  4. Step 4: Simplify right side
    309.46x = 43,124.17
  5. Step 5: Solve for x
    x = 43,124.17/309.46
  6. Step 6: Final answer
    x = 139.35

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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.