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Finding the Fourth Proportional to 214.02, 320.93 and 109.80

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Solution

The fourth proportional to 214.02, 320.93 and 109.80 is: 164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.02 : 320.93 = 109.80 : x
  2. Step 2: Convert to fraction form
    214.02/320.93 = 109.80/x
  3. Step 3: Cross multiply
    214.02x = 320.93 × 109.80
  4. Step 4: Simplify right side
    214.02x = 35,237.98
  5. Step 5: Solve for x
    x = 35,237.98/214.02
  6. Step 6: Final answer
    x = 164.65

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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.