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Finding the Fourth Proportional to 187.84, 280.42 and 160.40

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Solution

The fourth proportional to 187.84, 280.42 and 160.40 is: 239.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.84 : 280.42 = 160.40 : x
  2. Step 2: Convert to fraction form
    187.84/280.42 = 160.40/x
  3. Step 3: Cross multiply
    187.84x = 280.42 × 160.40
  4. Step 4: Simplify right side
    187.84x = 44,979.37
  5. Step 5: Solve for x
    x = 44,979.37/187.84
  6. Step 6: Final answer
    x = 239.46

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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.