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Finding the Fourth Proportional to 369.89, 509.96 and 265.13

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Solution

The fourth proportional to 369.89, 509.96 and 265.13 is: 365.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.89 : 509.96 = 265.13 : x
  2. Step 2: Convert to fraction form
    369.89/509.96 = 265.13/x
  3. Step 3: Cross multiply
    369.89x = 509.96 × 265.13
  4. Step 4: Simplify right side
    369.89x = 135,204.37
  5. Step 5: Solve for x
    x = 135,204.37/369.89
  6. Step 6: Final answer
    x = 365.53

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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.