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Finding the Fourth Proportional to 264.71, 365.21 and 154.15

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Solution

The fourth proportional to 264.71, 365.21 and 154.15 is: 212.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.71 : 365.21 = 154.15 : x
  2. Step 2: Convert to fraction form
    264.71/365.21 = 154.15/x
  3. Step 3: Cross multiply
    264.71x = 365.21 × 154.15
  4. Step 4: Simplify right side
    264.71x = 56,294.52
  5. Step 5: Solve for x
    x = 56,294.52/264.71
  6. Step 6: Final answer
    x = 212.66

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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.