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Finding the Fourth Proportional to 456.59, 684.89 and 164.10

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Solution

The fourth proportional to 456.59, 684.89 and 164.10 is: 246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.59 : 684.89 = 164.10 : x
  2. Step 2: Convert to fraction form
    456.59/684.89 = 164.10/x
  3. Step 3: Cross multiply
    456.59x = 684.89 × 164.10
  4. Step 4: Simplify right side
    456.59x = 112,392.81
  5. Step 5: Solve for x
    x = 112,392.81/456.59
  6. Step 6: Final answer
    x = 246.16

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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.