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Finding the Fourth Proportional to 368.50, 508.51 and 202.69

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Solution

The fourth proportional to 368.50, 508.51 and 202.69 is: 279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.50 : 508.51 = 202.69 : x
  2. Step 2: Convert to fraction form
    368.50/508.51 = 202.69/x
  3. Step 3: Cross multiply
    368.50x = 508.51 × 202.69
  4. Step 4: Simplify right side
    368.50x = 103,067.35
  5. Step 5: Solve for x
    x = 103,067.35/368.50
  6. Step 6: Final answer
    x = 279.70

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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.