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Finding the Fourth Proportional to 476.14, 714.09 and 129.45

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Solution

The fourth proportional to 476.14, 714.09 and 129.45 is: 194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.14 : 714.09 = 129.45 : x
  2. Step 2: Convert to fraction form
    476.14/714.09 = 129.45/x
  3. Step 3: Cross multiply
    476.14x = 714.09 × 129.45
  4. Step 4: Simplify right side
    476.14x = 92,441.84
  5. Step 5: Solve for x
    x = 92,441.84/476.14
  6. Step 6: Final answer
    x = 194.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.