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Finding the Fourth Proportional to 192.54, 287.64 and 146.76

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Solution

The fourth proportional to 192.54, 287.64 and 146.76 is: 219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.54 : 287.64 = 146.76 : x
  2. Step 2: Convert to fraction form
    192.54/287.64 = 146.76/x
  3. Step 3: Cross multiply
    192.54x = 287.64 × 146.76
  4. Step 4: Simplify right side
    192.54x = 42,214.05
  5. Step 5: Solve for x
    x = 42,214.05/192.54
  6. Step 6: Final answer
    x = 219.25

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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.