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Finding the Fourth Proportional to 281.26, 420.35 and 259.37

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Solution

The fourth proportional to 281.26, 420.35 and 259.37 is: 387.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.26 : 420.35 = 259.37 : x
  2. Step 2: Convert to fraction form
    281.26/420.35 = 259.37/x
  3. Step 3: Cross multiply
    281.26x = 420.35 × 259.37
  4. Step 4: Simplify right side
    281.26x = 109,026.18
  5. Step 5: Solve for x
    x = 109,026.18/281.26
  6. Step 6: Final answer
    x = 387.64

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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.