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Finding the Fourth Proportional to 395.68, 545.64 and 330.16

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Solution

The fourth proportional to 395.68, 545.64 and 330.16 is: 455.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.68 : 545.64 = 330.16 : x
  2. Step 2: Convert to fraction form
    395.68/545.64 = 330.16/x
  3. Step 3: Cross multiply
    395.68x = 545.64 × 330.16
  4. Step 4: Simplify right side
    395.68x = 180,148.50
  5. Step 5: Solve for x
    x = 180,148.50/395.68
  6. Step 6: Final answer
    x = 455.29

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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.