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Finding the Fourth Proportional to 143.02, 212.80 and 142.52

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Solution

The fourth proportional to 143.02, 212.80 and 142.52 is: 212.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.02 : 212.80 = 142.52 : x
  2. Step 2: Convert to fraction form
    143.02/212.80 = 142.52/x
  3. Step 3: Cross multiply
    143.02x = 212.80 × 142.52
  4. Step 4: Simplify right side
    143.02x = 30,328.26
  5. Step 5: Solve for x
    x = 30,328.26/143.02
  6. Step 6: Final answer
    x = 212.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.