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Finding the Fourth Proportional to 441.88, 662.91 and 153.32

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Solution

The fourth proportional to 441.88, 662.91 and 153.32 is: 230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.88 : 662.91 = 153.32 : x
  2. Step 2: Convert to fraction form
    441.88/662.91 = 153.32/x
  3. Step 3: Cross multiply
    441.88x = 662.91 × 153.32
  4. Step 4: Simplify right side
    441.88x = 101,637.36
  5. Step 5: Solve for x
    x = 101,637.36/441.88
  6. Step 6: Final answer
    x = 230.01

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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.