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Finding the Fourth Proportional to 214.22, 320.87 and 159.53

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Solution

The fourth proportional to 214.22, 320.87 and 159.53 is: 238.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.22 : 320.87 = 159.53 : x
  2. Step 2: Convert to fraction form
    214.22/320.87 = 159.53/x
  3. Step 3: Cross multiply
    214.22x = 320.87 × 159.53
  4. Step 4: Simplify right side
    214.22x = 51,185.99
  5. Step 5: Solve for x
    x = 51,185.99/214.22
  6. Step 6: Final answer
    x = 238.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.