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Finding the Fourth Proportional to 353.76, 530.70 and 209.45

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Solution

The fourth proportional to 353.76, 530.70 and 209.45 is: 314.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.76 : 530.70 = 209.45 : x
  2. Step 2: Convert to fraction form
    353.76/530.70 = 209.45/x
  3. Step 3: Cross multiply
    353.76x = 530.70 × 209.45
  4. Step 4: Simplify right side
    353.76x = 111,152.46
  5. Step 5: Solve for x
    x = 111,152.46/353.76
  6. Step 6: Final answer
    x = 314.20

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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.