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Finding the Fourth Proportional to 150.16, 206.76 and 128.28

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Solution

The fourth proportional to 150.16, 206.76 and 128.28 is: 176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.16 : 206.76 = 128.28 : x
  2. Step 2: Convert to fraction form
    150.16/206.76 = 128.28/x
  3. Step 3: Cross multiply
    150.16x = 206.76 × 128.28
  4. Step 4: Simplify right side
    150.16x = 26,523.17
  5. Step 5: Solve for x
    x = 26,523.17/150.16
  6. Step 6: Final answer
    x = 176.63

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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.