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Finding the Fourth Proportional to 188.52, 280.74 and 176.84

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Solution

The fourth proportional to 188.52, 280.74 and 176.84 is: 263.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.52 : 280.74 = 176.84 : x
  2. Step 2: Convert to fraction form
    188.52/280.74 = 176.84/x
  3. Step 3: Cross multiply
    188.52x = 280.74 × 176.84
  4. Step 4: Simplify right side
    188.52x = 49,644.88
  5. Step 5: Solve for x
    x = 49,644.88/188.52
  6. Step 6: Final answer
    x = 263.35

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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.