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Finding the Fourth Proportional to 184.65, 278.22 and 152.85

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Solution

The fourth proportional to 184.65, 278.22 and 152.85 is: 230.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.65 : 278.22 = 152.85 : x
  2. Step 2: Convert to fraction form
    184.65/278.22 = 152.85/x
  3. Step 3: Cross multiply
    184.65x = 278.22 × 152.85
  4. Step 4: Simplify right side
    184.65x = 42,527.54
  5. Step 5: Solve for x
    x = 42,527.54/184.65
  6. Step 6: Final answer
    x = 230.32

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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.