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Finding the Fourth Proportional to 415.45, 573.10 and 268.17

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Solution

The fourth proportional to 415.45, 573.10 and 268.17 is: 369.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.45 : 573.10 = 268.17 : x
  2. Step 2: Convert to fraction form
    415.45/573.10 = 268.17/x
  3. Step 3: Cross multiply
    415.45x = 573.10 × 268.17
  4. Step 4: Simplify right side
    415.45x = 153,688.23
  5. Step 5: Solve for x
    x = 153,688.23/415.45
  6. Step 6: Final answer
    x = 369.93

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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.