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Finding the Fourth Proportional to 296.39, 405.21 and 285.05

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Solution

The fourth proportional to 296.39, 405.21 and 285.05 is: 389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.39 : 405.21 = 285.05 : x
  2. Step 2: Convert to fraction form
    296.39/405.21 = 285.05/x
  3. Step 3: Cross multiply
    296.39x = 405.21 × 285.05
  4. Step 4: Simplify right side
    296.39x = 115,503.08
  5. Step 5: Solve for x
    x = 115,503.08/296.39
  6. Step 6: Final answer
    x = 389.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.