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Finding the Fourth Proportional to 354.96, 531.07 and 354.05

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Solution

The fourth proportional to 354.96, 531.07 and 354.05 is: 529.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.96 : 531.07 = 354.05 : x
  2. Step 2: Convert to fraction form
    354.96/531.07 = 354.05/x
  3. Step 3: Cross multiply
    354.96x = 531.07 × 354.05
  4. Step 4: Simplify right side
    354.96x = 188,021.79
  5. Step 5: Solve for x
    x = 188,021.79/354.96
  6. Step 6: Final answer
    x = 529.70

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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.