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Finding the Fourth Proportional to 302.84, 416.97 and 253.61

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Solution

The fourth proportional to 302.84, 416.97 and 253.61 is: 349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.84 : 416.97 = 253.61 : x
  2. Step 2: Convert to fraction form
    302.84/416.97 = 253.61/x
  3. Step 3: Cross multiply
    302.84x = 416.97 × 253.61
  4. Step 4: Simplify right side
    302.84x = 105,745.68
  5. Step 5: Solve for x
    x = 105,745.68/302.84
  6. Step 6: Final answer
    x = 349.19

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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.