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Finding the Fourth Proportional to 106.46, 160.30 and 77.76

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Solution

The fourth proportional to 106.46, 160.30 and 77.76 is: 117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.46 : 160.30 = 77.76 : x
  2. Step 2: Convert to fraction form
    106.46/160.30 = 77.76/x
  3. Step 3: Cross multiply
    106.46x = 160.30 × 77.76
  4. Step 4: Simplify right side
    106.46x = 12,464.93
  5. Step 5: Solve for x
    x = 12,464.93/106.46
  6. Step 6: Final answer
    x = 117.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.