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Finding the Fourth Proportional to 229.18, 315.32 and 223.10

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Solution

The fourth proportional to 229.18, 315.32 and 223.10 is: 306.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.18 : 315.32 = 223.10 : x
  2. Step 2: Convert to fraction form
    229.18/315.32 = 223.10/x
  3. Step 3: Cross multiply
    229.18x = 315.32 × 223.10
  4. Step 4: Simplify right side
    229.18x = 70,347.89
  5. Step 5: Solve for x
    x = 70,347.89/229.18
  6. Step 6: Final answer
    x = 306.95

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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.