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Finding the Fourth Proportional to 305.58, 456.18 and 259.44

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Solution

The fourth proportional to 305.58, 456.18 and 259.44 is: 387.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.58 : 456.18 = 259.44 : x
  2. Step 2: Convert to fraction form
    305.58/456.18 = 259.44/x
  3. Step 3: Cross multiply
    305.58x = 456.18 × 259.44
  4. Step 4: Simplify right side
    305.58x = 118,351.34
  5. Step 5: Solve for x
    x = 118,351.34/305.58
  6. Step 6: Final answer
    x = 387.30

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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.