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Finding the Fourth Proportional to 403.12, 605.48 and 354.52

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Solution

The fourth proportional to 403.12, 605.48 and 354.52 is: 532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.12 : 605.48 = 354.52 : x
  2. Step 2: Convert to fraction form
    403.12/605.48 = 354.52/x
  3. Step 3: Cross multiply
    403.12x = 605.48 × 354.52
  4. Step 4: Simplify right side
    403.12x = 214,654.77
  5. Step 5: Solve for x
    x = 214,654.77/403.12
  6. Step 6: Final answer
    x = 532.48

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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.