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Finding the Fourth Proportional to 395.51, 545.34 and 333.24

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Solution

The fourth proportional to 395.51, 545.34 and 333.24 is: 459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.51 : 545.34 = 333.24 : x
  2. Step 2: Convert to fraction form
    395.51/545.34 = 333.24/x
  3. Step 3: Cross multiply
    395.51x = 545.34 × 333.24
  4. Step 4: Simplify right side
    395.51x = 181,729.10
  5. Step 5: Solve for x
    x = 181,729.10/395.51
  6. Step 6: Final answer
    x = 459.48

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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.