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Finding the Fourth Proportional to 303.62, 452.54 and 287.06

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Solution

The fourth proportional to 303.62, 452.54 and 287.06 is: 427.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.62 : 452.54 = 287.06 : x
  2. Step 2: Convert to fraction form
    303.62/452.54 = 287.06/x
  3. Step 3: Cross multiply
    303.62x = 452.54 × 287.06
  4. Step 4: Simplify right side
    303.62x = 129,906.13
  5. Step 5: Solve for x
    x = 129,906.13/303.62
  6. Step 6: Final answer
    x = 427.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.