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Finding the Fourth Proportional to 368.62, 511.88 and 364.56

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Solution

The fourth proportional to 368.62, 511.88 and 364.56 is: 506.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.62 : 511.88 = 364.56 : x
  2. Step 2: Convert to fraction form
    368.62/511.88 = 364.56/x
  3. Step 3: Cross multiply
    368.62x = 511.88 × 364.56
  4. Step 4: Simplify right side
    368.62x = 186,610.97
  5. Step 5: Solve for x
    x = 186,610.97/368.62
  6. Step 6: Final answer
    x = 506.24

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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.