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Finding the Fourth Proportional to 264.75, 365.20 and 154.21

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Solution

The fourth proportional to 264.75, 365.20 and 154.21 is: 212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.75 : 365.20 = 154.21 : x
  2. Step 2: Convert to fraction form
    264.75/365.20 = 154.21/x
  3. Step 3: Cross multiply
    264.75x = 365.20 × 154.21
  4. Step 4: Simplify right side
    264.75x = 56,316.72
  5. Step 5: Solve for x
    x = 56,316.72/264.75
  6. Step 6: Final answer
    x = 212.72

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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.