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Finding the Fourth Proportional to 184.78, 278.50 and 176.54

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Solution

The fourth proportional to 184.78, 278.50 and 176.54 is: 266.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.78 : 278.50 = 176.54 : x
  2. Step 2: Convert to fraction form
    184.78/278.50 = 176.54/x
  3. Step 3: Cross multiply
    184.78x = 278.50 × 176.54
  4. Step 4: Simplify right side
    184.78x = 49,166.39
  5. Step 5: Solve for x
    x = 49,166.39/184.78
  6. Step 6: Final answer
    x = 266.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.