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Finding the Fourth Proportional to 666.81, 998.88 and 332.25

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Solution

The fourth proportional to 666.81, 998.88 and 332.25 is: 497.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.81 : 998.88 = 332.25 : x
  2. Step 2: Convert to fraction form
    666.81/998.88 = 332.25/x
  3. Step 3: Cross multiply
    666.81x = 998.88 × 332.25
  4. Step 4: Simplify right side
    666.81x = 331,881.55
  5. Step 5: Solve for x
    x = 331,881.55/666.81
  6. Step 6: Final answer
    x = 497.71

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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.