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Finding the Fourth Proportional to 370.27, 511.64 and 265.18

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Solution

The fourth proportional to 370.27, 511.64 and 265.18 is: 366.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.27 : 511.64 = 265.18 : x
  2. Step 2: Convert to fraction form
    370.27/511.64 = 265.18/x
  3. Step 3: Cross multiply
    370.27x = 511.64 × 265.18
  4. Step 4: Simplify right side
    370.27x = 135,676.70
  5. Step 5: Solve for x
    x = 135,676.70/370.27
  6. Step 6: Final answer
    x = 366.43

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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.