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Finding the Fourth Proportional to 370.79, 511.57 and 223.37

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Solution

The fourth proportional to 370.79, 511.57 and 223.37 is: 308.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.79 : 511.57 = 223.37 : x
  2. Step 2: Convert to fraction form
    370.79/511.57 = 223.37/x
  3. Step 3: Cross multiply
    370.79x = 511.57 × 223.37
  4. Step 4: Simplify right side
    370.79x = 114,269.39
  5. Step 5: Solve for x
    x = 114,269.39/370.79
  6. Step 6: Final answer
    x = 308.18

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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.