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Finding the Fourth Proportional to 264.68, 365.21 and 154.07

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Solution

The fourth proportional to 264.68, 365.21 and 154.07 is: 212.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.68 : 365.21 = 154.07 : x
  2. Step 2: Convert to fraction form
    264.68/365.21 = 154.07/x
  3. Step 3: Cross multiply
    264.68x = 365.21 × 154.07
  4. Step 4: Simplify right side
    264.68x = 56,266.08
  5. Step 5: Solve for x
    x = 56,266.08/264.68
  6. Step 6: Final answer
    x = 212.59

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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.