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Finding the Fourth Proportional to 281.07, 423.83 and 258.39

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Solution

The fourth proportional to 281.07, 423.83 and 258.39 is: 389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.07 : 423.83 = 258.39 : x
  2. Step 2: Convert to fraction form
    281.07/423.83 = 258.39/x
  3. Step 3: Cross multiply
    281.07x = 423.83 × 258.39
  4. Step 4: Simplify right side
    281.07x = 109,514.08
  5. Step 5: Solve for x
    x = 109,514.08/281.07
  6. Step 6: Final answer
    x = 389.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.