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Finding the Fourth Proportional to 470.24, 705.44 and 157.85

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Solution

The fourth proportional to 470.24, 705.44 and 157.85 is: 236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.24 : 705.44 = 157.85 : x
  2. Step 2: Convert to fraction form
    470.24/705.44 = 157.85/x
  3. Step 3: Cross multiply
    470.24x = 705.44 × 157.85
  4. Step 4: Simplify right side
    470.24x = 111,356.89
  5. Step 5: Solve for x
    x = 111,356.89/470.24
  6. Step 6: Final answer
    x = 236.81

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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.