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Finding the Fourth Proportional to 262.05, 359.51 and 259.93

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Solution

The fourth proportional to 262.05, 359.51 and 259.93 is: 356.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.05 : 359.51 = 259.93 : x
  2. Step 2: Convert to fraction form
    262.05/359.51 = 259.93/x
  3. Step 3: Cross multiply
    262.05x = 359.51 × 259.93
  4. Step 4: Simplify right side
    262.05x = 93,447.19
  5. Step 5: Solve for x
    x = 93,447.19/262.05
  6. Step 6: Final answer
    x = 356.60

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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.