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Finding the Fourth Proportional to 312.17, 468.29 and 106.76

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Solution

The fourth proportional to 312.17, 468.29 and 106.76 is: 160.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.17 : 468.29 = 106.76 : x
  2. Step 2: Convert to fraction form
    312.17/468.29 = 106.76/x
  3. Step 3: Cross multiply
    312.17x = 468.29 × 106.76
  4. Step 4: Simplify right side
    312.17x = 49,991.77
  5. Step 5: Solve for x
    x = 49,991.77/312.17
  6. Step 6: Final answer
    x = 160.15

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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.