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Finding the Fourth Proportional to 365.76, 505.20 and 301.04

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Solution

The fourth proportional to 365.76, 505.20 and 301.04 is: 415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.76 : 505.20 = 301.04 : x
  2. Step 2: Convert to fraction form
    365.76/505.20 = 301.04/x
  3. Step 3: Cross multiply
    365.76x = 505.20 × 301.04
  4. Step 4: Simplify right side
    365.76x = 152,085.41
  5. Step 5: Solve for x
    x = 152,085.41/365.76
  6. Step 6: Final answer
    x = 415.81

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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.