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Finding the Fourth Proportional to 602.49, 903.27 and 278.09

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Solution

The fourth proportional to 602.49, 903.27 and 278.09 is: 416.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.49 : 903.27 = 278.09 : x
  2. Step 2: Convert to fraction form
    602.49/903.27 = 278.09/x
  3. Step 3: Cross multiply
    602.49x = 903.27 × 278.09
  4. Step 4: Simplify right side
    602.49x = 251,190.35
  5. Step 5: Solve for x
    x = 251,190.35/602.49
  6. Step 6: Final answer
    x = 416.92

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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.