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Finding the Fourth Proportional to 365.33, 502.99 and 340.49

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Solution

The fourth proportional to 365.33, 502.99 and 340.49 is: 468.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.33 : 502.99 = 340.49 : x
  2. Step 2: Convert to fraction form
    365.33/502.99 = 340.49/x
  3. Step 3: Cross multiply
    365.33x = 502.99 × 340.49
  4. Step 4: Simplify right side
    365.33x = 171,259.70
  5. Step 5: Solve for x
    x = 171,259.70/365.33
  6. Step 6: Final answer
    x = 468.79

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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.