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Finding the Fourth Proportional to 412.45, 618.67 and 152.44

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Solution

The fourth proportional to 412.45, 618.67 and 152.44 is: 228.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.45 : 618.67 = 152.44 : x
  2. Step 2: Convert to fraction form
    412.45/618.67 = 152.44/x
  3. Step 3: Cross multiply
    412.45x = 618.67 × 152.44
  4. Step 4: Simplify right side
    412.45x = 94,310.05
  5. Step 5: Solve for x
    x = 94,310.05/412.45
  6. Step 6: Final answer
    x = 228.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.