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Finding the Fourth Proportional to 265.86, 364.73 and 249.30

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Solution

The fourth proportional to 265.86, 364.73 and 249.30 is: 342.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.86 : 364.73 = 249.30 : x
  2. Step 2: Convert to fraction form
    265.86/364.73 = 249.30/x
  3. Step 3: Cross multiply
    265.86x = 364.73 × 249.30
  4. Step 4: Simplify right side
    265.86x = 90,925.94
  5. Step 5: Solve for x
    x = 90,925.94/265.86
  6. Step 6: Final answer
    x = 342.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.