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Finding the Fourth Proportional to 441.51, 662.28 and 116.87

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Solution

The fourth proportional to 441.51, 662.28 and 116.87 is: 175.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.51 : 662.28 = 116.87 : x
  2. Step 2: Convert to fraction form
    441.51/662.28 = 116.87/x
  3. Step 3: Cross multiply
    441.51x = 662.28 × 116.87
  4. Step 4: Simplify right side
    441.51x = 77,396.77
  5. Step 5: Solve for x
    x = 77,396.77/441.51
  6. Step 6: Final answer
    x = 175.30

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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.