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Finding the Fourth Proportional to 144.51, 217.95 and 142.98

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Solution

The fourth proportional to 144.51, 217.95 and 142.98 is: 215.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.51 : 217.95 = 142.98 : x
  2. Step 2: Convert to fraction form
    144.51/217.95 = 142.98/x
  3. Step 3: Cross multiply
    144.51x = 217.95 × 142.98
  4. Step 4: Simplify right side
    144.51x = 31,162.49
  5. Step 5: Solve for x
    x = 31,162.49/144.51
  6. Step 6: Final answer
    x = 215.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.