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Finding the Fourth Proportional to 265.57, 399.83 and 184.97

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Solution

The fourth proportional to 265.57, 399.83 and 184.97 is: 278.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.57 : 399.83 = 184.97 : x
  2. Step 2: Convert to fraction form
    265.57/399.83 = 184.97/x
  3. Step 3: Cross multiply
    265.57x = 399.83 × 184.97
  4. Step 4: Simplify right side
    265.57x = 73,956.63
  5. Step 5: Solve for x
    x = 73,956.63/265.57
  6. Step 6: Final answer
    x = 278.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.