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Finding the Fourth Proportional to 302.80, 417.27 and 282.28

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Solution

The fourth proportional to 302.80, 417.27 and 282.28 is: 388.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.80 : 417.27 = 282.28 : x
  2. Step 2: Convert to fraction form
    302.80/417.27 = 282.28/x
  3. Step 3: Cross multiply
    302.80x = 417.27 × 282.28
  4. Step 4: Simplify right side
    302.80x = 117,786.98
  5. Step 5: Solve for x
    x = 117,786.98/302.80
  6. Step 6: Final answer
    x = 388.99

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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.