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Finding the Fourth Proportional to 968.99, 1,453.46 and 238.55

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Solution

The fourth proportional to 968.99, 1,453.46 and 238.55 is: 357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.99 : 1,453.46 = 238.55 : x
  2. Step 2: Convert to fraction form
    968.99/1,453.46 = 238.55/x
  3. Step 3: Cross multiply
    968.99x = 1,453.46 × 238.55
  4. Step 4: Simplify right side
    968.99x = 346,714.42
  5. Step 5: Solve for x
    x = 346,714.42/968.99
  6. Step 6: Final answer
    x = 357.81

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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.