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Finding the Fourth Proportional to 264.79, 365.61 and 209.81

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Solution

The fourth proportional to 264.79, 365.61 and 209.81 is: 289.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.79 : 365.61 = 209.81 : x
  2. Step 2: Convert to fraction form
    264.79/365.61 = 209.81/x
  3. Step 3: Cross multiply
    264.79x = 365.61 × 209.81
  4. Step 4: Simplify right side
    264.79x = 76,705.76
  5. Step 5: Solve for x
    x = 76,705.76/264.79
  6. Step 6: Final answer
    x = 289.69

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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.