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Finding the Fourth Proportional to 187.65, 280.73 and 176.31

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Solution

The fourth proportional to 187.65, 280.73 and 176.31 is: 263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.65 : 280.73 = 176.31 : x
  2. Step 2: Convert to fraction form
    187.65/280.73 = 176.31/x
  3. Step 3: Cross multiply
    187.65x = 280.73 × 176.31
  4. Step 4: Simplify right side
    187.65x = 49,495.95
  5. Step 5: Solve for x
    x = 49,495.95/187.65
  6. Step 6: Final answer
    x = 263.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.