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Finding the Fourth Proportional to 281.00, 420.71 and 259.47

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Solution

The fourth proportional to 281.00, 420.71 and 259.47 is: 388.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.00 : 420.71 = 259.47 : x
  2. Step 2: Convert to fraction form
    281.00/420.71 = 259.47/x
  3. Step 3: Cross multiply
    281.00x = 420.71 × 259.47
  4. Step 4: Simplify right side
    281.00x = 109,162.27
  5. Step 5: Solve for x
    x = 109,162.27/281.00
  6. Step 6: Final answer
    x = 388.47

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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.