Home / 643.24-964.46-210.36

Finding the Fourth Proportional to 643.24, 964.46 and 210.36

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Solution

The fourth proportional to 643.24, 964.46 and 210.36 is: 315.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.24 : 964.46 = 210.36 : x
  2. Step 2: Convert to fraction form
    643.24/964.46 = 210.36/x
  3. Step 3: Cross multiply
    643.24x = 964.46 × 210.36
  4. Step 4: Simplify right side
    643.24x = 202,883.81
  5. Step 5: Solve for x
    x = 202,883.81/643.24
  6. Step 6: Final answer
    x = 315.41

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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.