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Finding the Fourth Proportional to 160.83, 242.21 and 135.32

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Solution

The fourth proportional to 160.83, 242.21 and 135.32 is: 203.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.83 : 242.21 = 135.32 : x
  2. Step 2: Convert to fraction form
    160.83/242.21 = 135.32/x
  3. Step 3: Cross multiply
    160.83x = 242.21 × 135.32
  4. Step 4: Simplify right side
    160.83x = 32,774.65
  5. Step 5: Solve for x
    x = 32,774.65/160.83
  6. Step 6: Final answer
    x = 203.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.