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Finding the Fourth Proportional to 150.16, 207.04 and 145.28

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Solution

The fourth proportional to 150.16, 207.04 and 145.28 is: 200.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.16 : 207.04 = 145.28 : x
  2. Step 2: Convert to fraction form
    150.16/207.04 = 145.28/x
  3. Step 3: Cross multiply
    150.16x = 207.04 × 145.28
  4. Step 4: Simplify right side
    150.16x = 30,078.77
  5. Step 5: Solve for x
    x = 30,078.77/150.16
  6. Step 6: Final answer
    x = 200.31

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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.