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Finding the Fourth Proportional to 434.48, 600.11 and 341.54

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Solution

The fourth proportional to 434.48, 600.11 and 341.54 is: 471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.48 : 600.11 = 341.54 : x
  2. Step 2: Convert to fraction form
    434.48/600.11 = 341.54/x
  3. Step 3: Cross multiply
    434.48x = 600.11 × 341.54
  4. Step 4: Simplify right side
    434.48x = 204,956.86
  5. Step 5: Solve for x
    x = 204,956.86/434.48
  6. Step 6: Final answer
    x = 471.73

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