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Finding the Fourth Proportional to 614.19, 920.50 and 305.38

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Solution

The fourth proportional to 614.19, 920.50 and 305.38 is: 457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.19 : 920.50 = 305.38 : x
  2. Step 2: Convert to fraction form
    614.19/920.50 = 305.38/x
  3. Step 3: Cross multiply
    614.19x = 920.50 × 305.38
  4. Step 4: Simplify right side
    614.19x = 281,102.68
  5. Step 5: Solve for x
    x = 281,102.68/614.19
  6. Step 6: Final answer
    x = 457.68

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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.