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Finding the Fourth Proportional to 456.84, 685.36 and 183.16

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Solution

The fourth proportional to 456.84, 685.36 and 183.16 is: 274.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.84 : 685.36 = 183.16 : x
  2. Step 2: Convert to fraction form
    456.84/685.36 = 183.16/x
  3. Step 3: Cross multiply
    456.84x = 685.36 × 183.16
  4. Step 4: Simplify right side
    456.84x = 125,530.54
  5. Step 5: Solve for x
    x = 125,530.54/456.84
  6. Step 6: Final answer
    x = 274.78

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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.