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Finding the Fourth Proportional to 116.19, 160.31 and 77.39

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Solution

The fourth proportional to 116.19, 160.31 and 77.39 is: 106.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.19 : 160.31 = 77.39 : x
  2. Step 2: Convert to fraction form
    116.19/160.31 = 77.39/x
  3. Step 3: Cross multiply
    116.19x = 160.31 × 77.39
  4. Step 4: Simplify right side
    116.19x = 12,405.20
  5. Step 5: Solve for x
    x = 12,405.20/116.19
  6. Step 6: Final answer
    x = 106.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.