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Finding the Fourth Proportional to 614.22, 920.72 and 203.08

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Solution

The fourth proportional to 614.22, 920.72 and 203.08 is: 304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.22 : 920.72 = 203.08 : x
  2. Step 2: Convert to fraction form
    614.22/920.72 = 203.08/x
  3. Step 3: Cross multiply
    614.22x = 920.72 × 203.08
  4. Step 4: Simplify right side
    614.22x = 186,975.21
  5. Step 5: Solve for x
    x = 186,975.21/614.22
  6. Step 6: Final answer
    x = 304.41

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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.