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Finding the Fourth Proportional to 264.28, 395.40 and 192.16

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Solution

The fourth proportional to 264.28, 395.40 and 192.16 is: 287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.28 : 395.40 = 192.16 : x
  2. Step 2: Convert to fraction form
    264.28/395.40 = 192.16/x
  3. Step 3: Cross multiply
    264.28x = 395.40 × 192.16
  4. Step 4: Simplify right side
    264.28x = 75,980.06
  5. Step 5: Solve for x
    x = 75,980.06/264.28
  6. Step 6: Final answer
    x = 287.50

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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.