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Finding the Fourth Proportional to 421.49, 632.52 and 190.51

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Solution

The fourth proportional to 421.49, 632.52 and 190.51 is: 285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.49 : 632.52 = 190.51 : x
  2. Step 2: Convert to fraction form
    421.49/632.52 = 190.51/x
  3. Step 3: Cross multiply
    421.49x = 632.52 × 190.51
  4. Step 4: Simplify right side
    421.49x = 120,499.80
  5. Step 5: Solve for x
    x = 120,499.80/421.49
  6. Step 6: Final answer
    x = 285.89

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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.