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Finding the Fourth Proportional to 421.98, 633.02 and 133.40

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Solution

The fourth proportional to 421.98, 633.02 and 133.40 is: 200.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.98 : 633.02 = 133.40 : x
  2. Step 2: Convert to fraction form
    421.98/633.02 = 133.40/x
  3. Step 3: Cross multiply
    421.98x = 633.02 × 133.40
  4. Step 4: Simplify right side
    421.98x = 84,444.87
  5. Step 5: Solve for x
    x = 84,444.87/421.98
  6. Step 6: Final answer
    x = 200.12

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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.