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Finding the Fourth Proportional to 210.02, 289.92 and 143.66

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Solution

The fourth proportional to 210.02, 289.92 and 143.66 is: 198.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.02 : 289.92 = 143.66 : x
  2. Step 2: Convert to fraction form
    210.02/289.92 = 143.66/x
  3. Step 3: Cross multiply
    210.02x = 289.92 × 143.66
  4. Step 4: Simplify right side
    210.02x = 41,649.91
  5. Step 5: Solve for x
    x = 41,649.91/210.02
  6. Step 6: Final answer
    x = 198.31

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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.