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Finding the Fourth Proportional to 259.61, 356.27 and 257.72

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Solution

The fourth proportional to 259.61, 356.27 and 257.72 is: 353.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.61 : 356.27 = 257.72 : x
  2. Step 2: Convert to fraction form
    259.61/356.27 = 257.72/x
  3. Step 3: Cross multiply
    259.61x = 356.27 × 257.72
  4. Step 4: Simplify right side
    259.61x = 91,814.83
  5. Step 5: Solve for x
    x = 91,814.83/259.61
  6. Step 6: Final answer
    x = 353.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.