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Finding the Fourth Proportional to 370.80, 511.65 and 223.45

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Solution

The fourth proportional to 370.80, 511.65 and 223.45 is: 308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.80 : 511.65 = 223.45 : x
  2. Step 2: Convert to fraction form
    370.80/511.65 = 223.45/x
  3. Step 3: Cross multiply
    370.80x = 511.65 × 223.45
  4. Step 4: Simplify right side
    370.80x = 114,326.91
  5. Step 5: Solve for x
    x = 114,326.91/370.80
  6. Step 6: Final answer
    x = 308.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.