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Finding the Fourth Proportional to 165.88, 247.49 and 153.64

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Solution

The fourth proportional to 165.88, 247.49 and 153.64 is: 229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.88 : 247.49 = 153.64 : x
  2. Step 2: Convert to fraction form
    165.88/247.49 = 153.64/x
  3. Step 3: Cross multiply
    165.88x = 247.49 × 153.64
  4. Step 4: Simplify right side
    165.88x = 38,024.36
  5. Step 5: Solve for x
    x = 38,024.36/165.88
  6. Step 6: Final answer
    x = 229.23

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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.