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Finding the Fourth Proportional to 149.32, 207.01 and 146.35

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Solution

The fourth proportional to 149.32, 207.01 and 146.35 is: 202.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.32 : 207.01 = 146.35 : x
  2. Step 2: Convert to fraction form
    149.32/207.01 = 146.35/x
  3. Step 3: Cross multiply
    149.32x = 207.01 × 146.35
  4. Step 4: Simplify right side
    149.32x = 30,295.91
  5. Step 5: Solve for x
    x = 30,295.91/149.32
  6. Step 6: Final answer
    x = 202.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.