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Finding the Fourth Proportional to 347.84, 480.09 and 207.98

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Solution

The fourth proportional to 347.84, 480.09 and 207.98 is: 287.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.84 : 480.09 = 207.98 : x
  2. Step 2: Convert to fraction form
    347.84/480.09 = 207.98/x
  3. Step 3: Cross multiply
    347.84x = 480.09 × 207.98
  4. Step 4: Simplify right side
    347.84x = 99,848.52
  5. Step 5: Solve for x
    x = 99,848.52/347.84
  6. Step 6: Final answer
    x = 287.05

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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.