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Finding the Fourth Proportional to 353.69, 530.23 and 171.21

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Solution

The fourth proportional to 353.69, 530.23 and 171.21 is: 256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.69 : 530.23 = 171.21 : x
  2. Step 2: Convert to fraction form
    353.69/530.23 = 171.21/x
  3. Step 3: Cross multiply
    353.69x = 530.23 × 171.21
  4. Step 4: Simplify right side
    353.69x = 90,780.68
  5. Step 5: Solve for x
    x = 90,780.68/353.69
  6. Step 6: Final answer
    x = 256.67

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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.