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Finding the Fourth Proportional to 365.23, 503.04 and 309.63

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Solution

The fourth proportional to 365.23, 503.04 and 309.63 is: 426.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.23 : 503.04 = 309.63 : x
  2. Step 2: Convert to fraction form
    365.23/503.04 = 309.63/x
  3. Step 3: Cross multiply
    365.23x = 503.04 × 309.63
  4. Step 4: Simplify right side
    365.23x = 155,756.28
  5. Step 5: Solve for x
    x = 155,756.28/365.23
  6. Step 6: Final answer
    x = 426.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.