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Finding the Fourth Proportional to 456.52, 684.87 and 144.19

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Solution

The fourth proportional to 456.52, 684.87 and 144.19 is: 216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.52 : 684.87 = 144.19 : x
  2. Step 2: Convert to fraction form
    456.52/684.87 = 144.19/x
  3. Step 3: Cross multiply
    456.52x = 684.87 × 144.19
  4. Step 4: Simplify right side
    456.52x = 98,751.41
  5. Step 5: Solve for x
    x = 98,751.41/456.52
  6. Step 6: Final answer
    x = 216.31

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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.