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Finding the Fourth Proportional to 373.04, 514.80 and 217.84

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Solution

The fourth proportional to 373.04, 514.80 and 217.84 is: 300.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    373.04 : 514.80 = 217.84 : x
  2. Step 2: Convert to fraction form
    373.04/514.80 = 217.84/x
  3. Step 3: Cross multiply
    373.04x = 514.80 × 217.84
  4. Step 4: Simplify right side
    373.04x = 112,144.03
  5. Step 5: Solve for x
    x = 112,144.03/373.04
  6. Step 6: Final answer
    x = 300.62

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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.