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Finding the Fourth Proportional to 188.83, 260.36 and 153.78

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Solution

The fourth proportional to 188.83, 260.36 and 153.78 is: 212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.83 : 260.36 = 153.78 : x
  2. Step 2: Convert to fraction form
    188.83/260.36 = 153.78/x
  3. Step 3: Cross multiply
    188.83x = 260.36 × 153.78
  4. Step 4: Simplify right side
    188.83x = 40,038.04
  5. Step 5: Solve for x
    x = 40,038.04/188.83
  6. Step 6: Final answer
    x = 212.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.