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Finding the Fourth Proportional to 302.06, 416.78 and 294.18

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Solution

The fourth proportional to 302.06, 416.78 and 294.18 is: 405.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.06 : 416.78 = 294.18 : x
  2. Step 2: Convert to fraction form
    302.06/416.78 = 294.18/x
  3. Step 3: Cross multiply
    302.06x = 416.78 × 294.18
  4. Step 4: Simplify right side
    302.06x = 122,608.34
  5. Step 5: Solve for x
    x = 122,608.34/302.06
  6. Step 6: Final answer
    x = 405.91

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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.