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Finding the Fourth Proportional to 470.34, 705.65 and 145.71

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Solution

The fourth proportional to 470.34, 705.65 and 145.71 is: 218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.34 : 705.65 = 145.71 : x
  2. Step 2: Convert to fraction form
    470.34/705.65 = 145.71/x
  3. Step 3: Cross multiply
    470.34x = 705.65 × 145.71
  4. Step 4: Simplify right side
    470.34x = 102,819.53
  5. Step 5: Solve for x
    x = 102,819.53/470.34
  6. Step 6: Final answer
    x = 218.61

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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.