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Finding the Fourth Proportional to 165.68, 246.82 and 159.87

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Solution

The fourth proportional to 165.68, 246.82 and 159.87 is: 238.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.68 : 246.82 = 159.87 : x
  2. Step 2: Convert to fraction form
    165.68/246.82 = 159.87/x
  3. Step 3: Cross multiply
    165.68x = 246.82 × 159.87
  4. Step 4: Simplify right side
    165.68x = 39,458.71
  5. Step 5: Solve for x
    x = 39,458.71/165.68
  6. Step 6: Final answer
    x = 238.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.