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Finding the Fourth Proportional to 433.29, 597.58 and 308.85

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Solution

The fourth proportional to 433.29, 597.58 and 308.85 is: 425.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.29 : 597.58 = 308.85 : x
  2. Step 2: Convert to fraction form
    433.29/597.58 = 308.85/x
  3. Step 3: Cross multiply
    433.29x = 597.58 × 308.85
  4. Step 4: Simplify right side
    433.29x = 184,562.58
  5. Step 5: Solve for x
    x = 184,562.58/433.29
  6. Step 6: Final answer
    x = 425.96

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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.