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Finding the Fourth Proportional to 209.53, 289.06 and 150.51

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Solution

The fourth proportional to 209.53, 289.06 and 150.51 is: 207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.53 : 289.06 = 150.51 : x
  2. Step 2: Convert to fraction form
    209.53/289.06 = 150.51/x
  3. Step 3: Cross multiply
    209.53x = 289.06 × 150.51
  4. Step 4: Simplify right side
    209.53x = 43,506.42
  5. Step 5: Solve for x
    x = 43,506.42/209.53
  6. Step 6: Final answer
    x = 207.64

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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.