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Finding the Fourth Proportional to 214.24, 321.47 and 153.29

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Solution

The fourth proportional to 214.24, 321.47 and 153.29 is: 230.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.24 : 321.47 = 153.29 : x
  2. Step 2: Convert to fraction form
    214.24/321.47 = 153.29/x
  3. Step 3: Cross multiply
    214.24x = 321.47 × 153.29
  4. Step 4: Simplify right side
    214.24x = 49,278.14
  5. Step 5: Solve for x
    x = 49,278.14/214.24
  6. Step 6: Final answer
    x = 230.01

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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.