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Finding the Fourth Proportional to 185.84, 277.76 and 160.16

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Solution

The fourth proportional to 185.84, 277.76 and 160.16 is: 239.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.84 : 277.76 = 160.16 : x
  2. Step 2: Convert to fraction form
    185.84/277.76 = 160.16/x
  3. Step 3: Cross multiply
    185.84x = 277.76 × 160.16
  4. Step 4: Simplify right side
    185.84x = 44,486.04
  5. Step 5: Solve for x
    x = 44,486.04/185.84
  6. Step 6: Final answer
    x = 239.38

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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.