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Finding the Fourth Proportional to 365.05, 501.31 and 312.59

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Solution

The fourth proportional to 365.05, 501.31 and 312.59 is: 429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.05 : 501.31 = 312.59 : x
  2. Step 2: Convert to fraction form
    365.05/501.31 = 312.59/x
  3. Step 3: Cross multiply
    365.05x = 501.31 × 312.59
  4. Step 4: Simplify right side
    365.05x = 156,704.49
  5. Step 5: Solve for x
    x = 156,704.49/365.05
  6. Step 6: Final answer
    x = 429.27

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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.