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Finding the Fourth Proportional to 302.98, 418.20 and 215.74

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Solution

The fourth proportional to 302.98, 418.20 and 215.74 is: 297.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.98 : 418.20 = 215.74 : x
  2. Step 2: Convert to fraction form
    302.98/418.20 = 215.74/x
  3. Step 3: Cross multiply
    302.98x = 418.20 × 215.74
  4. Step 4: Simplify right side
    302.98x = 90,222.47
  5. Step 5: Solve for x
    x = 90,222.47/302.98
  6. Step 6: Final answer
    x = 297.78

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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.