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Finding the Fourth Proportional to 470.89, 705.88 and 197.22

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Solution

The fourth proportional to 470.89, 705.88 and 197.22 is: 295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.89 : 705.88 = 197.22 : x
  2. Step 2: Convert to fraction form
    470.89/705.88 = 197.22/x
  3. Step 3: Cross multiply
    470.89x = 705.88 × 197.22
  4. Step 4: Simplify right side
    470.89x = 139,212.67
  5. Step 5: Solve for x
    x = 139,212.67/470.89
  6. Step 6: Final answer
    x = 295.64

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