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Finding the Fourth Proportional to 347.19, 479.08 and 205.38

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Solution

The fourth proportional to 347.19, 479.08 and 205.38 is: 283.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.19 : 479.08 = 205.38 : x
  2. Step 2: Convert to fraction form
    347.19/479.08 = 205.38/x
  3. Step 3: Cross multiply
    347.19x = 479.08 × 205.38
  4. Step 4: Simplify right side
    347.19x = 98,393.45
  5. Step 5: Solve for x
    x = 98,393.45/347.19
  6. Step 6: Final answer
    x = 283.40

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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.