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Finding the Fourth Proportional to 320.13, 442.05 and 209.58

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Solution

The fourth proportional to 320.13, 442.05 and 209.58 is: 289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.13 : 442.05 = 209.58 : x
  2. Step 2: Convert to fraction form
    320.13/442.05 = 209.58/x
  3. Step 3: Cross multiply
    320.13x = 442.05 × 209.58
  4. Step 4: Simplify right side
    320.13x = 92,644.84
  5. Step 5: Solve for x
    x = 92,644.84/320.13
  6. Step 6: Final answer
    x = 289.40

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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.