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Finding the Fourth Proportional to 302.88, 418.68 and 216.30

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Solution

The fourth proportional to 302.88, 418.68 and 216.30 is: 299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.88 : 418.68 = 216.30 : x
  2. Step 2: Convert to fraction form
    302.88/418.68 = 216.30/x
  3. Step 3: Cross multiply
    302.88x = 418.68 × 216.30
  4. Step 4: Simplify right side
    302.88x = 90,560.48
  5. Step 5: Solve for x
    x = 90,560.48/302.88
  6. Step 6: Final answer
    x = 299.00

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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.