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Finding the Fourth Proportional to 395.18, 545.84 and 284.46

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Solution

The fourth proportional to 395.18, 545.84 and 284.46 is: 392.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.18 : 545.84 = 284.46 : x
  2. Step 2: Convert to fraction form
    395.18/545.84 = 284.46/x
  3. Step 3: Cross multiply
    395.18x = 545.84 × 284.46
  4. Step 4: Simplify right side
    395.18x = 155,270.31
  5. Step 5: Solve for x
    x = 155,270.31/395.18
  6. Step 6: Final answer
    x = 392.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.