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Finding the Fourth Proportional to 369.78, 507.51 and 329.53

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Solution

The fourth proportional to 369.78, 507.51 and 329.53 is: 452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.78 : 507.51 = 329.53 : x
  2. Step 2: Convert to fraction form
    369.78/507.51 = 329.53/x
  3. Step 3: Cross multiply
    369.78x = 507.51 × 329.53
  4. Step 4: Simplify right side
    369.78x = 167,235.59
  5. Step 5: Solve for x
    x = 167,235.59/369.78
  6. Step 6: Final answer
    x = 452.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.