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Finding the Fourth Proportional to 302.90, 451.62 and 297.43

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Solution

The fourth proportional to 302.90, 451.62 and 297.43 is: 443.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.90 : 451.62 = 297.43 : x
  2. Step 2: Convert to fraction form
    302.90/451.62 = 297.43/x
  3. Step 3: Cross multiply
    302.90x = 451.62 × 297.43
  4. Step 4: Simplify right side
    302.90x = 134,324.21
  5. Step 5: Solve for x
    x = 134,324.21/302.90
  6. Step 6: Final answer
    x = 443.47

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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.