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Finding the Fourth Proportional to 456.15, 684.31 and 261.37

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Solution

The fourth proportional to 456.15, 684.31 and 261.37 is: 392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.15 : 684.31 = 261.37 : x
  2. Step 2: Convert to fraction form
    456.15/684.31 = 261.37/x
  3. Step 3: Cross multiply
    456.15x = 684.31 × 261.37
  4. Step 4: Simplify right side
    456.15x = 178,858.10
  5. Step 5: Solve for x
    x = 178,858.10/456.15
  6. Step 6: Final answer
    x = 392.10

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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.