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Finding the Fourth Proportional to 210.04, 289.75 and 163.33

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Solution

The fourth proportional to 210.04, 289.75 and 163.33 is: 225.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.04 : 289.75 = 163.33 : x
  2. Step 2: Convert to fraction form
    210.04/289.75 = 163.33/x
  3. Step 3: Cross multiply
    210.04x = 289.75 × 163.33
  4. Step 4: Simplify right side
    210.04x = 47,323.01
  5. Step 5: Solve for x
    x = 47,323.01/210.04
  6. Step 6: Final answer
    x = 225.31

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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.