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Finding the Fourth Proportional to 456.19, 683.91 and 182.02

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Solution

The fourth proportional to 456.19, 683.91 and 182.02 is: 272.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.19 : 683.91 = 182.02 : x
  2. Step 2: Convert to fraction form
    456.19/683.91 = 182.02/x
  3. Step 3: Cross multiply
    456.19x = 683.91 × 182.02
  4. Step 4: Simplify right side
    456.19x = 124,482.68
  5. Step 5: Solve for x
    x = 124,482.68/456.19
  6. Step 6: Final answer
    x = 272.87

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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.