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Finding the Fourth Proportional to 303.96, 421.89 and 292.08

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Solution

The fourth proportional to 303.96, 421.89 and 292.08 is: 405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.96 : 421.89 = 292.08 : x
  2. Step 2: Convert to fraction form
    303.96/421.89 = 292.08/x
  3. Step 3: Cross multiply
    303.96x = 421.89 × 292.08
  4. Step 4: Simplify right side
    303.96x = 123,225.63
  5. Step 5: Solve for x
    x = 123,225.63/303.96
  6. Step 6: Final answer
    x = 405.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.