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Finding the Fourth Proportional to 302.52, 450.25 and 296.12

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Solution

The fourth proportional to 302.52, 450.25 and 296.12 is: 440.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.52 : 450.25 = 296.12 : x
  2. Step 2: Convert to fraction form
    302.52/450.25 = 296.12/x
  3. Step 3: Cross multiply
    302.52x = 450.25 × 296.12
  4. Step 4: Simplify right side
    302.52x = 133,328.03
  5. Step 5: Solve for x
    x = 133,328.03/302.52
  6. Step 6: Final answer
    x = 440.72

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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.