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Finding the Fourth Proportional to 415.35, 570.89 and 365.94

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Solution

The fourth proportional to 415.35, 570.89 and 365.94 is: 502.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.35 : 570.89 = 365.94 : x
  2. Step 2: Convert to fraction form
    415.35/570.89 = 365.94/x
  3. Step 3: Cross multiply
    415.35x = 570.89 × 365.94
  4. Step 4: Simplify right side
    415.35x = 208,912.40
  5. Step 5: Solve for x
    x = 208,912.40/415.35
  6. Step 6: Final answer
    x = 502.98

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.