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Finding the Fourth Proportional to 143.65, 214.48 and 128.91

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Solution

The fourth proportional to 143.65, 214.48 and 128.91 is: 192.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.65 : 214.48 = 128.91 : x
  2. Step 2: Convert to fraction form
    143.65/214.48 = 128.91/x
  3. Step 3: Cross multiply
    143.65x = 214.48 × 128.91
  4. Step 4: Simplify right side
    143.65x = 27,648.62
  5. Step 5: Solve for x
    x = 27,648.62/143.65
  6. Step 6: Final answer
    x = 192.47

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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.