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Finding the Fourth Proportional to 309.64, 427.98 and 235.84

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Solution

The fourth proportional to 309.64, 427.98 and 235.84 is: 325.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.64 : 427.98 = 235.84 : x
  2. Step 2: Convert to fraction form
    309.64/427.98 = 235.84/x
  3. Step 3: Cross multiply
    309.64x = 427.98 × 235.84
  4. Step 4: Simplify right side
    309.64x = 100,934.80
  5. Step 5: Solve for x
    x = 100,934.80/309.64
  6. Step 6: Final answer
    x = 325.97

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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.