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Finding the Fourth Proportional to 192.34, 265.30 and 143.16

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Solution

The fourth proportional to 192.34, 265.30 and 143.16 is: 197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.34 : 265.30 = 143.16 : x
  2. Step 2: Convert to fraction form
    192.34/265.30 = 143.16/x
  3. Step 3: Cross multiply
    192.34x = 265.30 × 143.16
  4. Step 4: Simplify right side
    192.34x = 37,980.35
  5. Step 5: Solve for x
    x = 37,980.35/192.34
  6. Step 6: Final answer
    x = 197.46

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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.