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Finding the Fourth Proportional to 347.12, 478.57 and 286.30

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Solution

The fourth proportional to 347.12, 478.57 and 286.30 is: 394.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.12 : 478.57 = 286.30 : x
  2. Step 2: Convert to fraction form
    347.12/478.57 = 286.30/x
  3. Step 3: Cross multiply
    347.12x = 478.57 × 286.30
  4. Step 4: Simplify right side
    347.12x = 137,014.59
  5. Step 5: Solve for x
    x = 137,014.59/347.12
  6. Step 6: Final answer
    x = 394.72

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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.