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Finding the Fourth Proportional to 445, 614.26 and 297.58

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Solution

The fourth proportional to 445, 614.26 and 297.58 is: 410.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    445 : 614.26 = 297.58 : x
  2. Step 2: Convert to fraction form
    445/614.26 = 297.58/x
  3. Step 3: Cross multiply
    445x = 614.26 × 297.58
  4. Step 4: Simplify right side
    445x = 182,791.49
  5. Step 5: Solve for x
    x = 182,791.49/445
  6. Step 6: Final answer
    x = 410.77

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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.