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Finding the Fourth Proportional to 365.02, 502.63 and 330.29

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Solution

The fourth proportional to 365.02, 502.63 and 330.29 is: 454.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.02 : 502.63 = 330.29 : x
  2. Step 2: Convert to fraction form
    365.02/502.63 = 330.29/x
  3. Step 3: Cross multiply
    365.02x = 502.63 × 330.29
  4. Step 4: Simplify right side
    365.02x = 166,013.66
  5. Step 5: Solve for x
    x = 166,013.66/365.02
  6. Step 6: Final answer
    x = 454.81

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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.