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Finding the Fourth Proportional to 407.96, 612.18 and 164.50

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Solution

The fourth proportional to 407.96, 612.18 and 164.50 is: 246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.96 : 612.18 = 164.50 : x
  2. Step 2: Convert to fraction form
    407.96/612.18 = 164.50/x
  3. Step 3: Cross multiply
    407.96x = 612.18 × 164.50
  4. Step 4: Simplify right side
    407.96x = 100,703.61
  5. Step 5: Solve for x
    x = 100,703.61/407.96
  6. Step 6: Final answer
    x = 246.85

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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.