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Finding the Fourth Proportional to 353.60, 530.56 and 209.60

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Solution

The fourth proportional to 353.60, 530.56 and 209.60 is: 314.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.60 : 530.56 = 209.60 : x
  2. Step 2: Convert to fraction form
    353.60/530.56 = 209.60/x
  3. Step 3: Cross multiply
    353.60x = 530.56 × 209.60
  4. Step 4: Simplify right side
    353.60x = 111,205.38
  5. Step 5: Solve for x
    x = 111,205.38/353.60
  6. Step 6: Final answer
    x = 314.49

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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.