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Finding the Fourth Proportional to 415.40, 573.26 and 228.90

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Solution

The fourth proportional to 415.40, 573.26 and 228.90 is: 315.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.40 : 573.26 = 228.90 : x
  2. Step 2: Convert to fraction form
    415.40/573.26 = 228.90/x
  3. Step 3: Cross multiply
    415.40x = 573.26 × 228.90
  4. Step 4: Simplify right side
    415.40x = 131,218.07
  5. Step 5: Solve for x
    x = 131,218.07/415.40
  6. Step 6: Final answer
    x = 315.89

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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.