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Finding the Fourth Proportional to 187.90, 280.46 and 176.36

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Solution

The fourth proportional to 187.90, 280.46 and 176.36 is: 263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.90 : 280.46 = 176.36 : x
  2. Step 2: Convert to fraction form
    187.90/280.46 = 176.36/x
  3. Step 3: Cross multiply
    187.90x = 280.46 × 176.36
  4. Step 4: Simplify right side
    187.90x = 49,459.64
  5. Step 5: Solve for x
    x = 49,459.64/187.90
  6. Step 6: Final answer
    x = 263.23

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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.