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Finding the Fourth Proportional to 302.94, 417.96 and 252.52

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Solution

The fourth proportional to 302.94, 417.96 and 252.52 is: 348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.94 : 417.96 = 252.52 : x
  2. Step 2: Convert to fraction form
    302.94/417.96 = 252.52/x
  3. Step 3: Cross multiply
    302.94x = 417.96 × 252.52
  4. Step 4: Simplify right side
    302.94x = 105,542.21
  5. Step 5: Solve for x
    x = 105,542.21/302.94
  6. Step 6: Final answer
    x = 348.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.