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Finding the Fourth Proportional to 397.53, 595.88 and 235.29

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Solution

The fourth proportional to 397.53, 595.88 and 235.29 is: 352.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.53 : 595.88 = 235.29 : x
  2. Step 2: Convert to fraction form
    397.53/595.88 = 235.29/x
  3. Step 3: Cross multiply
    397.53x = 595.88 × 235.29
  4. Step 4: Simplify right side
    397.53x = 140,203.43
  5. Step 5: Solve for x
    x = 140,203.43/397.53
  6. Step 6: Final answer
    x = 352.69

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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.