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Finding the Fourth Proportional to 368.29, 508.26 and 202.51

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Solution

The fourth proportional to 368.29, 508.26 and 202.51 is: 279.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.29 : 508.26 = 202.51 : x
  2. Step 2: Convert to fraction form
    368.29/508.26 = 202.51/x
  3. Step 3: Cross multiply
    368.29x = 508.26 × 202.51
  4. Step 4: Simplify right side
    368.29x = 102,927.80
  5. Step 5: Solve for x
    x = 102,927.80/368.29
  6. Step 6: Final answer
    x = 279.47

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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.