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Finding the Fourth Proportional to 146.31, 219.36 and 54.93

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Solution

The fourth proportional to 146.31, 219.36 and 54.93 is: 82.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.31 : 219.36 = 54.93 : x
  2. Step 2: Convert to fraction form
    146.31/219.36 = 54.93/x
  3. Step 3: Cross multiply
    146.31x = 219.36 × 54.93
  4. Step 4: Simplify right side
    146.31x = 12,048.93
  5. Step 5: Solve for x
    x = 12,048.93/146.31
  6. Step 6: Final answer
    x = 82.35

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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.