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Finding the Fourth Proportional to 165.68, 247.30 and 153.63

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Solution

The fourth proportional to 165.68, 247.30 and 153.63 is: 229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.68 : 247.30 = 153.63 : x
  2. Step 2: Convert to fraction form
    165.68/247.30 = 153.63/x
  3. Step 3: Cross multiply
    165.68x = 247.30 × 153.63
  4. Step 4: Simplify right side
    165.68x = 37,992.80
  5. Step 5: Solve for x
    x = 37,992.80/165.68
  6. Step 6: Final answer
    x = 229.32

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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.