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Finding the Fourth Proportional to 265.43, 397.94 and 128.40

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Solution

The fourth proportional to 265.43, 397.94 and 128.40 is: 192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.43 : 397.94 = 128.40 : x
  2. Step 2: Convert to fraction form
    265.43/397.94 = 128.40/x
  3. Step 3: Cross multiply
    265.43x = 397.94 × 128.40
  4. Step 4: Simplify right side
    265.43x = 51,095.50
  5. Step 5: Solve for x
    x = 51,095.50/265.43
  6. Step 6: Final answer
    x = 192.50

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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.