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Finding the Fourth Proportional to 347.63, 478.36 and 284.05

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Solution

The fourth proportional to 347.63, 478.36 and 284.05 is: 390.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.63 : 478.36 = 284.05 : x
  2. Step 2: Convert to fraction form
    347.63/478.36 = 284.05/x
  3. Step 3: Cross multiply
    347.63x = 478.36 × 284.05
  4. Step 4: Simplify right side
    347.63x = 135,874.35
  5. Step 5: Solve for x
    x = 135,874.35/347.63
  6. Step 6: Final answer
    x = 390.86

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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.