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Finding the Fourth Proportional to 470.92, 706.46 and 162.86

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Solution

The fourth proportional to 470.92, 706.46 and 162.86 is: 244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.92 : 706.46 = 162.86 : x
  2. Step 2: Convert to fraction form
    470.92/706.46 = 162.86/x
  3. Step 3: Cross multiply
    470.92x = 706.46 × 162.86
  4. Step 4: Simplify right side
    470.92x = 115,054.08
  5. Step 5: Solve for x
    x = 115,054.08/470.92
  6. Step 6: Final answer
    x = 244.32

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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.