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Finding the Fourth Proportional to 353.71, 530.59 and 209.13

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Solution

The fourth proportional to 353.71, 530.59 and 209.13 is: 313.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.71 : 530.59 = 209.13 : x
  2. Step 2: Convert to fraction form
    353.71/530.59 = 209.13/x
  3. Step 3: Cross multiply
    353.71x = 530.59 × 209.13
  4. Step 4: Simplify right side
    353.71x = 110,962.29
  5. Step 5: Solve for x
    x = 110,962.29/353.71
  6. Step 6: Final answer
    x = 313.71

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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.