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Finding the Fourth Proportional to 320.52, 442.20 and 210.04

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Solution

The fourth proportional to 320.52, 442.20 and 210.04 is: 289.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.52 : 442.20 = 210.04 : x
  2. Step 2: Convert to fraction form
    320.52/442.20 = 210.04/x
  3. Step 3: Cross multiply
    320.52x = 442.20 × 210.04
  4. Step 4: Simplify right side
    320.52x = 92,879.69
  5. Step 5: Solve for x
    x = 92,879.69/320.52
  6. Step 6: Final answer
    x = 289.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.