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Finding the Fourth Proportional to 344.98, 476.07 and 205.17

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Solution

The fourth proportional to 344.98, 476.07 and 205.17 is: 283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.98 : 476.07 = 205.17 : x
  2. Step 2: Convert to fraction form
    344.98/476.07 = 205.17/x
  3. Step 3: Cross multiply
    344.98x = 476.07 × 205.17
  4. Step 4: Simplify right side
    344.98x = 97,675.28
  5. Step 5: Solve for x
    x = 97,675.28/344.98
  6. Step 6: Final answer
    x = 283.13

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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.