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Finding the Fourth Proportional to 303.42, 420.87 and 292.49

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Solution

The fourth proportional to 303.42, 420.87 and 292.49 is: 405.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.42 : 420.87 = 292.49 : x
  2. Step 2: Convert to fraction form
    303.42/420.87 = 292.49/x
  3. Step 3: Cross multiply
    303.42x = 420.87 × 292.49
  4. Step 4: Simplify right side
    303.42x = 123,098.16
  5. Step 5: Solve for x
    x = 123,098.16/303.42
  6. Step 6: Final answer
    x = 405.70

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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.