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Finding the Fourth Proportional to 365.96, 546.36 and 278.82

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Solution

The fourth proportional to 365.96, 546.36 and 278.82 is: 416.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.96 : 546.36 = 278.82 : x
  2. Step 2: Convert to fraction form
    365.96/546.36 = 278.82/x
  3. Step 3: Cross multiply
    365.96x = 546.36 × 278.82
  4. Step 4: Simplify right side
    365.96x = 152,336.10
  5. Step 5: Solve for x
    x = 152,336.10/365.96
  6. Step 6: Final answer
    x = 416.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.