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Finding the Fourth Proportional to 264.92, 397.58 and 128.04

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Solution

The fourth proportional to 264.92, 397.58 and 128.04 is: 192.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.92 : 397.58 = 128.04 : x
  2. Step 2: Convert to fraction form
    264.92/397.58 = 128.04/x
  3. Step 3: Cross multiply
    264.92x = 397.58 × 128.04
  4. Step 4: Simplify right side
    264.92x = 50,905.50
  5. Step 5: Solve for x
    x = 50,905.50/264.92
  6. Step 6: Final answer
    x = 192.16

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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.