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Finding the Fourth Proportional to 219.81, 303.60 and 146.00

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Solution

The fourth proportional to 219.81, 303.60 and 146.00 is: 201.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.81 : 303.60 = 146.00 : x
  2. Step 2: Convert to fraction form
    219.81/303.60 = 146.00/x
  3. Step 3: Cross multiply
    219.81x = 303.60 × 146.00
  4. Step 4: Simplify right side
    219.81x = 44,326.91
  5. Step 5: Solve for x
    x = 44,326.91/219.81
  6. Step 6: Final answer
    x = 201.66

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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.