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Finding the Fourth Proportional to 365.94, 503.66 and 313.29

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Solution

The fourth proportional to 365.94, 503.66 and 313.29 is: 431.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.94 : 503.66 = 313.29 : x
  2. Step 2: Convert to fraction form
    365.94/503.66 = 313.29/x
  3. Step 3: Cross multiply
    365.94x = 503.66 × 313.29
  4. Step 4: Simplify right side
    365.94x = 157,790.07
  5. Step 5: Solve for x
    x = 157,790.07/365.94
  6. Step 6: Final answer
    x = 431.19

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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.