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Finding the Fourth Proportional to 415.70, 573.72 and 305.54

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Solution

The fourth proportional to 415.70, 573.72 and 305.54 is: 421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.70 : 573.72 = 305.54 : x
  2. Step 2: Convert to fraction form
    415.70/573.72 = 305.54/x
  3. Step 3: Cross multiply
    415.70x = 573.72 × 305.54
  4. Step 4: Simplify right side
    415.70x = 175,294.41
  5. Step 5: Solve for x
    x = 175,294.41/415.70
  6. Step 6: Final answer
    x = 421.68

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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.