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Finding the Fourth Proportional to 302.44, 450.45 and 296.68

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Solution

The fourth proportional to 302.44, 450.45 and 296.68 is: 441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.44 : 450.45 = 296.68 : x
  2. Step 2: Convert to fraction form
    302.44/450.45 = 296.68/x
  3. Step 3: Cross multiply
    302.44x = 450.45 × 296.68
  4. Step 4: Simplify right side
    302.44x = 133,639.51
  5. Step 5: Solve for x
    x = 133,639.51/302.44
  6. Step 6: Final answer
    x = 441.87

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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.