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Finding the Fourth Proportional to 456.52, 684.06 and 264.04

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Solution

The fourth proportional to 456.52, 684.06 and 264.04 is: 395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.52 : 684.06 = 264.04 : x
  2. Step 2: Convert to fraction form
    456.52/684.06 = 264.04/x
  3. Step 3: Cross multiply
    456.52x = 684.06 × 264.04
  4. Step 4: Simplify right side
    456.52x = 180,619.20
  5. Step 5: Solve for x
    x = 180,619.20/456.52
  6. Step 6: Final answer
    x = 395.64

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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.