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Finding the Fourth Proportional to 368.26, 508.36 and 248.65

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Solution

The fourth proportional to 368.26, 508.36 and 248.65 is: 343.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.26 : 508.36 = 248.65 : x
  2. Step 2: Convert to fraction form
    368.26/508.36 = 248.65/x
  3. Step 3: Cross multiply
    368.26x = 508.36 × 248.65
  4. Step 4: Simplify right side
    368.26x = 126,403.71
  5. Step 5: Solve for x
    x = 126,403.71/368.26
  6. Step 6: Final answer
    x = 343.25

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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.