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Finding the Fourth Proportional to 415.42, 571.98 and 353.11

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Solution

The fourth proportional to 415.42, 571.98 and 353.11 is: 486.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.42 : 571.98 = 353.11 : x
  2. Step 2: Convert to fraction form
    415.42/571.98 = 353.11/x
  3. Step 3: Cross multiply
    415.42x = 571.98 × 353.11
  4. Step 4: Simplify right side
    415.42x = 201,971.86
  5. Step 5: Solve for x
    x = 201,971.86/415.42
  6. Step 6: Final answer
    x = 486.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.