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Finding the Fourth Proportional to 229.76, 344.65 and 148.67

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Solution

The fourth proportional to 229.76, 344.65 and 148.67 is: 223.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.76 : 344.65 = 148.67 : x
  2. Step 2: Convert to fraction form
    229.76/344.65 = 148.67/x
  3. Step 3: Cross multiply
    229.76x = 344.65 × 148.67
  4. Step 4: Simplify right side
    229.76x = 51,239.12
  5. Step 5: Solve for x
    x = 51,239.12/229.76
  6. Step 6: Final answer
    x = 223.01

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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.