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Finding the Fourth Proportional to 368.44, 508.46 and 202.66

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Solution

The fourth proportional to 368.44, 508.46 and 202.66 is: 279.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.44 : 508.46 = 202.66 : x
  2. Step 2: Convert to fraction form
    368.44/508.46 = 202.66/x
  3. Step 3: Cross multiply
    368.44x = 508.46 × 202.66
  4. Step 4: Simplify right side
    368.44x = 103,044.50
  5. Step 5: Solve for x
    x = 103,044.50/368.44
  6. Step 6: Final answer
    x = 279.68

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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.