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Finding the Fourth Proportional to 303.36, 420.59 and 293.23

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Solution

The fourth proportional to 303.36, 420.59 and 293.23 is: 406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.36 : 420.59 = 293.23 : x
  2. Step 2: Convert to fraction form
    303.36/420.59 = 293.23/x
  3. Step 3: Cross multiply
    303.36x = 420.59 × 293.23
  4. Step 4: Simplify right side
    303.36x = 123,329.61
  5. Step 5: Solve for x
    x = 123,329.61/303.36
  6. Step 6: Final answer
    x = 406.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.