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Finding the Fourth Proportional to 229.78, 317.10 and 156.22

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Solution

The fourth proportional to 229.78, 317.10 and 156.22 is: 215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.78 : 317.10 = 156.22 : x
  2. Step 2: Convert to fraction form
    229.78/317.10 = 156.22/x
  3. Step 3: Cross multiply
    229.78x = 317.10 × 156.22
  4. Step 4: Simplify right side
    229.78x = 49,537.36
  5. Step 5: Solve for x
    x = 49,537.36/229.78
  6. Step 6: Final answer
    x = 215.59

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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.