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Finding the Fourth Proportional to 296.06, 407.63 and 234.09

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Solution

The fourth proportional to 296.06, 407.63 and 234.09 is: 322.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.06 : 407.63 = 234.09 : x
  2. Step 2: Convert to fraction form
    296.06/407.63 = 234.09/x
  3. Step 3: Cross multiply
    296.06x = 407.63 × 234.09
  4. Step 4: Simplify right side
    296.06x = 95,422.69
  5. Step 5: Solve for x
    x = 95,422.69/296.06
  6. Step 6: Final answer
    x = 322.31

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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.