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Finding the Fourth Proportional to 369.51, 506.96 and 359.93

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Solution

The fourth proportional to 369.51, 506.96 and 359.93 is: 493.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.51 : 506.96 = 359.93 : x
  2. Step 2: Convert to fraction form
    369.51/506.96 = 359.93/x
  3. Step 3: Cross multiply
    369.51x = 506.96 × 359.93
  4. Step 4: Simplify right side
    369.51x = 182,465.78
  5. Step 5: Solve for x
    x = 182,465.78/369.51
  6. Step 6: Final answer
    x = 493.80

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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.