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Finding the Fourth Proportional to 285.03, 390.49 and 274.09

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Solution

The fourth proportional to 285.03, 390.49 and 274.09 is: 375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.03 : 390.49 = 274.09 : x
  2. Step 2: Convert to fraction form
    285.03/390.49 = 274.09/x
  3. Step 3: Cross multiply
    285.03x = 390.49 × 274.09
  4. Step 4: Simplify right side
    285.03x = 107,029.40
  5. Step 5: Solve for x
    x = 107,029.40/285.03
  6. Step 6: Final answer
    x = 375.50

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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.