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Finding the Fourth Proportional to 365.58, 548.64 and 269.64

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Solution

The fourth proportional to 365.58, 548.64 and 269.64 is: 404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.58 : 548.64 = 269.64 : x
  2. Step 2: Convert to fraction form
    365.58/548.64 = 269.64/x
  3. Step 3: Cross multiply
    365.58x = 548.64 × 269.64
  4. Step 4: Simplify right side
    365.58x = 147,935.29
  5. Step 5: Solve for x
    x = 147,935.29/365.58
  6. Step 6: Final answer
    x = 404.66

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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.