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Finding the Fourth Proportional to 319.16, 439.98 and 260.84

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Solution

The fourth proportional to 319.16, 439.98 and 260.84 is: 359.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.16 : 439.98 = 260.84 : x
  2. Step 2: Convert to fraction form
    319.16/439.98 = 260.84/x
  3. Step 3: Cross multiply
    319.16x = 439.98 × 260.84
  4. Step 4: Simplify right side
    319.16x = 114,764.38
  5. Step 5: Solve for x
    x = 114,764.38/319.16
  6. Step 6: Final answer
    x = 359.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.