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Finding the Fourth Proportional to 281.90, 421.14 and 235.77

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Solution

The fourth proportional to 281.90, 421.14 and 235.77 is: 352.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.90 : 421.14 = 235.77 : x
  2. Step 2: Convert to fraction form
    281.90/421.14 = 235.77/x
  3. Step 3: Cross multiply
    281.90x = 421.14 × 235.77
  4. Step 4: Simplify right side
    281.90x = 99,290.16
  5. Step 5: Solve for x
    x = 99,290.16/281.90
  6. Step 6: Final answer
    x = 352.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.