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Finding the Fourth Proportional to 394.42, 590.96 and 354.34

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Solution

The fourth proportional to 394.42, 590.96 and 354.34 is: 530.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.42 : 590.96 = 354.34 : x
  2. Step 2: Convert to fraction form
    394.42/590.96 = 354.34/x
  3. Step 3: Cross multiply
    394.42x = 590.96 × 354.34
  4. Step 4: Simplify right side
    394.42x = 209,400.77
  5. Step 5: Solve for x
    x = 209,400.77/394.42
  6. Step 6: Final answer
    x = 530.91

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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.