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Finding the Fourth Proportional to 143.64, 214.26 and 139.08

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Solution

The fourth proportional to 143.64, 214.26 and 139.08 is: 207.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.64 : 214.26 = 139.08 : x
  2. Step 2: Convert to fraction form
    143.64/214.26 = 139.08/x
  3. Step 3: Cross multiply
    143.64x = 214.26 × 139.08
  4. Step 4: Simplify right side
    143.64x = 29,798.85
  5. Step 5: Solve for x
    x = 29,798.85/143.64
  6. Step 6: Final answer
    x = 207.46

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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.