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Finding the Fourth Proportional to 395.72, 545.95 and 238.30

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Solution

The fourth proportional to 395.72, 545.95 and 238.30 is: 328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.72 : 545.95 = 238.30 : x
  2. Step 2: Convert to fraction form
    395.72/545.95 = 238.30/x
  3. Step 3: Cross multiply
    395.72x = 545.95 × 238.30
  4. Step 4: Simplify right side
    395.72x = 130,099.89
  5. Step 5: Solve for x
    x = 130,099.89/395.72
  6. Step 6: Final answer
    x = 328.77

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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.