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Finding the Fourth Proportional to 372.51, 514.07 and 204.47

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Solution

The fourth proportional to 372.51, 514.07 and 204.47 is: 282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.51 : 514.07 = 204.47 : x
  2. Step 2: Convert to fraction form
    372.51/514.07 = 204.47/x
  3. Step 3: Cross multiply
    372.51x = 514.07 × 204.47
  4. Step 4: Simplify right side
    372.51x = 105,112.14
  5. Step 5: Solve for x
    x = 105,112.14/372.51
  6. Step 6: Final answer
    x = 282.17

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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.