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Finding the Fourth Proportional to 470.42, 705.43 and 251.00

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Solution

The fourth proportional to 470.42, 705.43 and 251.00 is: 376.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.42 : 705.43 = 251.00 : x
  2. Step 2: Convert to fraction form
    470.42/705.43 = 251.00/x
  3. Step 3: Cross multiply
    470.42x = 705.43 × 251.00
  4. Step 4: Simplify right side
    470.42x = 177,060.42
  5. Step 5: Solve for x
    x = 177,060.42/470.42
  6. Step 6: Final answer
    x = 376.39

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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.