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Finding the Fourth Proportional to 210.13, 288.23 and 206.69

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Solution

The fourth proportional to 210.13, 288.23 and 206.69 is: 283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.13 : 288.23 = 206.69 : x
  2. Step 2: Convert to fraction form
    210.13/288.23 = 206.69/x
  3. Step 3: Cross multiply
    210.13x = 288.23 × 206.69
  4. Step 4: Simplify right side
    210.13x = 59,571.78
  5. Step 5: Solve for x
    x = 59,571.78/210.13
  6. Step 6: Final answer
    x = 283.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.