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Finding the Fourth Proportional to 471.64, 707.50 and 197.68

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Solution

The fourth proportional to 471.64, 707.50 and 197.68 is: 296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.64 : 707.50 = 197.68 : x
  2. Step 2: Convert to fraction form
    471.64/707.50 = 197.68/x
  3. Step 3: Cross multiply
    471.64x = 707.50 × 197.68
  4. Step 4: Simplify right side
    471.64x = 139,858.60
  5. Step 5: Solve for x
    x = 139,858.60/471.64
  6. Step 6: Final answer
    x = 296.54

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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.