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Finding the Fourth Proportional to 214.01, 320.19 and 145.20

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Solution

The fourth proportional to 214.01, 320.19 and 145.20 is: 217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.01 : 320.19 = 145.20 : x
  2. Step 2: Convert to fraction form
    214.01/320.19 = 145.20/x
  3. Step 3: Cross multiply
    214.01x = 320.19 × 145.20
  4. Step 4: Simplify right side
    214.01x = 46,491.59
  5. Step 5: Solve for x
    x = 46,491.59/214.01
  6. Step 6: Final answer
    x = 217.24

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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.