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Finding the Fourth Proportional to 296.06, 407.91 and 221.06

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Solution

The fourth proportional to 296.06, 407.91 and 221.06 is: 304.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.06 : 407.91 = 221.06 : x
  2. Step 2: Convert to fraction form
    296.06/407.91 = 221.06/x
  3. Step 3: Cross multiply
    296.06x = 407.91 × 221.06
  4. Step 4: Simplify right side
    296.06x = 90,170.55
  5. Step 5: Solve for x
    x = 90,170.55/296.06
  6. Step 6: Final answer
    x = 304.57

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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.