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Finding the Fourth Proportional to 229.22, 343.53 and 99.07

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Solution

The fourth proportional to 229.22, 343.53 and 99.07 is: 148.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.22 : 343.53 = 99.07 : x
  2. Step 2: Convert to fraction form
    229.22/343.53 = 99.07/x
  3. Step 3: Cross multiply
    229.22x = 343.53 × 99.07
  4. Step 4: Simplify right side
    229.22x = 34,031.80
  5. Step 5: Solve for x
    x = 34,031.80/229.22
  6. Step 6: Final answer
    x = 148.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.