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Finding the Fourth Proportional to 305.64, 456.26 and 259.68

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Solution

The fourth proportional to 305.64, 456.26 and 259.68 is: 387.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.64 : 456.26 = 259.68 : x
  2. Step 2: Convert to fraction form
    305.64/456.26 = 259.68/x
  3. Step 3: Cross multiply
    305.64x = 456.26 × 259.68
  4. Step 4: Simplify right side
    305.64x = 118,481.60
  5. Step 5: Solve for x
    x = 118,481.60/305.64
  6. Step 6: Final answer
    x = 387.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.