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Finding the Fourth Proportional to 184.77, 278.22 and 152.58

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Solution

The fourth proportional to 184.77, 278.22 and 152.58 is: 229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.77 : 278.22 = 152.58 : x
  2. Step 2: Convert to fraction form
    184.77/278.22 = 152.58/x
  3. Step 3: Cross multiply
    184.77x = 278.22 × 152.58
  4. Step 4: Simplify right side
    184.77x = 42,450.81
  5. Step 5: Solve for x
    x = 42,450.81/184.77
  6. Step 6: Final answer
    x = 229.75

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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.