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Finding the Fourth Proportional to 407.98, 612.32 and 164.68

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Solution

The fourth proportional to 407.98, 612.32 and 164.68 is: 247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.98 : 612.32 = 164.68 : x
  2. Step 2: Convert to fraction form
    407.98/612.32 = 164.68/x
  3. Step 3: Cross multiply
    407.98x = 612.32 × 164.68
  4. Step 4: Simplify right side
    407.98x = 100,836.86
  5. Step 5: Solve for x
    x = 100,836.86/407.98
  6. Step 6: Final answer
    x = 247.16

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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.