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Finding the Fourth Proportional to 370.94, 511.64 and 223.48

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Solution

The fourth proportional to 370.94, 511.64 and 223.48 is: 308.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.94 : 511.64 = 223.48 : x
  2. Step 2: Convert to fraction form
    370.94/511.64 = 223.48/x
  3. Step 3: Cross multiply
    370.94x = 511.64 × 223.48
  4. Step 4: Simplify right side
    370.94x = 114,341.31
  5. Step 5: Solve for x
    x = 114,341.31/370.94
  6. Step 6: Final answer
    x = 308.25

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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.