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Finding the Fourth Proportional to 368.24, 510.92 and 365.09

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Solution

The fourth proportional to 368.24, 510.92 and 365.09 is: 506.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.24 : 510.92 = 365.09 : x
  2. Step 2: Convert to fraction form
    368.24/510.92 = 365.09/x
  3. Step 3: Cross multiply
    368.24x = 510.92 × 365.09
  4. Step 4: Simplify right side
    368.24x = 186,527.40
  5. Step 5: Solve for x
    x = 186,527.40/368.24
  6. Step 6: Final answer
    x = 506.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.