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Finding the Fourth Proportional to 303.93, 419.45 and 210.69

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Solution

The fourth proportional to 303.93, 419.45 and 210.69 is: 290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.93 : 419.45 = 210.69 : x
  2. Step 2: Convert to fraction form
    303.93/419.45 = 210.69/x
  3. Step 3: Cross multiply
    303.93x = 419.45 × 210.69
  4. Step 4: Simplify right side
    303.93x = 88,372.87
  5. Step 5: Solve for x
    x = 88,372.87/303.93
  6. Step 6: Final answer
    x = 290.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.