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Finding the Fourth Proportional to 613.39, 920.14 and 202.53

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Solution

The fourth proportional to 613.39, 920.14 and 202.53 is: 303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.39 : 920.14 = 202.53 : x
  2. Step 2: Convert to fraction form
    613.39/920.14 = 202.53/x
  3. Step 3: Cross multiply
    613.39x = 920.14 × 202.53
  4. Step 4: Simplify right side
    613.39x = 186,355.95
  5. Step 5: Solve for x
    x = 186,355.95/613.39
  6. Step 6: Final answer
    x = 303.81

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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.