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Finding the Fourth Proportional to 353, 530.10 and 334.76

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Solution

The fourth proportional to 353, 530.10 and 334.76 is: 502.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    353 : 530.10 = 334.76 : x
  2. Step 2: Convert to fraction form
    353/530.10 = 334.76/x
  3. Step 3: Cross multiply
    353x = 530.10 × 334.76
  4. Step 4: Simplify right side
    353x = 177,456.28
  5. Step 5: Solve for x
    x = 177,456.28/353
  6. Step 6: Final answer
    x = 502.71

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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.