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Finding the Fourth Proportional to 395.00, 545.15 and 284.84

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Solution

The fourth proportional to 395.00, 545.15 and 284.84 is: 393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.00 : 545.15 = 284.84 : x
  2. Step 2: Convert to fraction form
    395.00/545.15 = 284.84/x
  3. Step 3: Cross multiply
    395.00x = 545.15 × 284.84
  4. Step 4: Simplify right side
    395.00x = 155,279.88
  5. Step 5: Solve for x
    x = 155,279.88/395.00
  6. Step 6: Final answer
    x = 393.12

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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.