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Finding the Fourth Proportional to 302.85, 454.50 and 252.09

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Solution

The fourth proportional to 302.85, 454.50 and 252.09 is: 378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.85 : 454.50 = 252.09 : x
  2. Step 2: Convert to fraction form
    302.85/454.50 = 252.09/x
  3. Step 3: Cross multiply
    302.85x = 454.50 × 252.09
  4. Step 4: Simplify right side
    302.85x = 114,574.91
  5. Step 5: Solve for x
    x = 114,574.91/302.85
  6. Step 6: Final answer
    x = 378.32

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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.