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Finding the Fourth Proportional to 229.50, 317.40 and 204.90

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Solution

The fourth proportional to 229.50, 317.40 and 204.90 is: 283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.50 : 317.40 = 204.90 : x
  2. Step 2: Convert to fraction form
    229.50/317.40 = 204.90/x
  3. Step 3: Cross multiply
    229.50x = 317.40 × 204.90
  4. Step 4: Simplify right side
    229.50x = 65,035.26
  5. Step 5: Solve for x
    x = 65,035.26/229.50
  6. Step 6: Final answer
    x = 283.38

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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.