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Finding the Fourth Proportional to 233.80, 322.28 and 156.04

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Solution

The fourth proportional to 233.80, 322.28 and 156.04 is: 215.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.80 : 322.28 = 156.04 : x
  2. Step 2: Convert to fraction form
    233.80/322.28 = 156.04/x
  3. Step 3: Cross multiply
    233.80x = 322.28 × 156.04
  4. Step 4: Simplify right side
    233.80x = 50,288.57
  5. Step 5: Solve for x
    x = 50,288.57/233.80
  6. Step 6: Final answer
    x = 215.09

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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.