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Finding the Fourth Proportional to 309.92, 464.52 and 165.40

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Solution

The fourth proportional to 309.92, 464.52 and 165.40 is: 247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.92 : 464.52 = 165.40 : x
  2. Step 2: Convert to fraction form
    309.92/464.52 = 165.40/x
  3. Step 3: Cross multiply
    309.92x = 464.52 × 165.40
  4. Step 4: Simplify right side
    309.92x = 76,831.61
  5. Step 5: Solve for x
    x = 76,831.61/309.92
  6. Step 6: Final answer
    x = 247.91

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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.