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Finding the Fourth Proportional to 165.83, 247.55 and 160.13

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Solution

The fourth proportional to 165.83, 247.55 and 160.13 is: 239.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.83 : 247.55 = 160.13 : x
  2. Step 2: Convert to fraction form
    165.83/247.55 = 160.13/x
  3. Step 3: Cross multiply
    165.83x = 247.55 × 160.13
  4. Step 4: Simplify right side
    165.83x = 39,640.18
  5. Step 5: Solve for x
    x = 39,640.18/165.83
  6. Step 6: Final answer
    x = 239.04

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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.