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Finding the Fourth Proportional to 192.02, 287.51 and 130.19

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Solution

The fourth proportional to 192.02, 287.51 and 130.19 is: 194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.02 : 287.51 = 130.19 : x
  2. Step 2: Convert to fraction form
    192.02/287.51 = 130.19/x
  3. Step 3: Cross multiply
    192.02x = 287.51 × 130.19
  4. Step 4: Simplify right side
    192.02x = 37,428.84
  5. Step 5: Solve for x
    x = 37,428.84/192.02
  6. Step 6: Final answer
    x = 194.93

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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.