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Finding the Fourth Proportional to 470.16, 705.24 and 213.66

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Solution

The fourth proportional to 470.16, 705.24 and 213.66 is: 320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.16 : 705.24 = 213.66 : x
  2. Step 2: Convert to fraction form
    470.16/705.24 = 213.66/x
  3. Step 3: Cross multiply
    470.16x = 705.24 × 213.66
  4. Step 4: Simplify right side
    470.16x = 150,681.58
  5. Step 5: Solve for x
    x = 150,681.58/470.16
  6. Step 6: Final answer
    x = 320.49

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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.