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Finding the Fourth Proportional to 303.23, 416.84 and 261.06

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Solution

The fourth proportional to 303.23, 416.84 and 261.06 is: 358.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.23 : 416.84 = 261.06 : x
  2. Step 2: Convert to fraction form
    303.23/416.84 = 261.06/x
  3. Step 3: Cross multiply
    303.23x = 416.84 × 261.06
  4. Step 4: Simplify right side
    303.23x = 108,820.25
  5. Step 5: Solve for x
    x = 108,820.25/303.23
  6. Step 6: Final answer
    x = 358.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.