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Finding the Fourth Proportional to 165.84, 247.55 and 153.62

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Solution

The fourth proportional to 165.84, 247.55 and 153.62 is: 229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.84 : 247.55 = 153.62 : x
  2. Step 2: Convert to fraction form
    165.84/247.55 = 153.62/x
  3. Step 3: Cross multiply
    165.84x = 247.55 × 153.62
  4. Step 4: Simplify right side
    165.84x = 38,028.63
  5. Step 5: Solve for x
    x = 38,028.63/165.84
  6. Step 6: Final answer
    x = 229.31

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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.