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Finding the Fourth Proportional to 294.33, 406.13 and 176.30

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Solution

The fourth proportional to 294.33, 406.13 and 176.30 is: 243.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.33 : 406.13 = 176.30 : x
  2. Step 2: Convert to fraction form
    294.33/406.13 = 176.30/x
  3. Step 3: Cross multiply
    294.33x = 406.13 × 176.30
  4. Step 4: Simplify right side
    294.33x = 71,597.81
  5. Step 5: Solve for x
    x = 71,597.81/294.33
  6. Step 6: Final answer
    x = 243.26

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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.