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Finding the Fourth Proportional to 456.19, 684.28 and 114.19

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Solution

The fourth proportional to 456.19, 684.28 and 114.19 is: 171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.19 : 684.28 = 114.19 : x
  2. Step 2: Convert to fraction form
    456.19/684.28 = 114.19/x
  3. Step 3: Cross multiply
    456.19x = 684.28 × 114.19
  4. Step 4: Simplify right side
    456.19x = 78,136.37
  5. Step 5: Solve for x
    x = 78,136.37/456.19
  6. Step 6: Final answer
    x = 171.28

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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.