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Finding the Fourth Proportional to 373.06, 514.78 and 223.65

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Solution

The fourth proportional to 373.06, 514.78 and 223.65 is: 308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.06 : 514.78 = 223.65 : x
  2. Step 2: Convert to fraction form
    373.06/514.78 = 223.65/x
  3. Step 3: Cross multiply
    373.06x = 514.78 × 223.65
  4. Step 4: Simplify right side
    373.06x = 115,130.55
  5. Step 5: Solve for x
    x = 115,130.55/373.06
  6. Step 6: Final answer
    x = 308.61

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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.