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Finding the Fourth Proportional to 665.13, 997.45 and 202.77

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Solution

The fourth proportional to 665.13, 997.45 and 202.77 is: 304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.13 : 997.45 = 202.77 : x
  2. Step 2: Convert to fraction form
    665.13/997.45 = 202.77/x
  3. Step 3: Cross multiply
    665.13x = 997.45 × 202.77
  4. Step 4: Simplify right side
    665.13x = 202,252.43
  5. Step 5: Solve for x
    x = 202,252.43/665.13
  6. Step 6: Final answer
    x = 304.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.