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Finding the Fourth Proportional to 262.65, 364.84 and 258.47

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Solution

The fourth proportional to 262.65, 364.84 and 258.47 is: 359.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.65 : 364.84 = 258.47 : x
  2. Step 2: Convert to fraction form
    262.65/364.84 = 258.47/x
  3. Step 3: Cross multiply
    262.65x = 364.84 × 258.47
  4. Step 4: Simplify right side
    262.65x = 94,299.09
  5. Step 5: Solve for x
    x = 94,299.09/262.65
  6. Step 6: Final answer
    x = 359.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.