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Finding the Fourth Proportional to 325.54, 488.31 and 188.51

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Solution

The fourth proportional to 325.54, 488.31 and 188.51 is: 282.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.54 : 488.31 = 188.51 : x
  2. Step 2: Convert to fraction form
    325.54/488.31 = 188.51/x
  3. Step 3: Cross multiply
    325.54x = 488.31 × 188.51
  4. Step 4: Simplify right side
    325.54x = 92,051.32
  5. Step 5: Solve for x
    x = 92,051.32/325.54
  6. Step 6: Final answer
    x = 282.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.