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Finding the Fourth Proportional to 150.65, 206.64 and 141.83

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Solution

The fourth proportional to 150.65, 206.64 and 141.83 is: 194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.65 : 206.64 = 141.83 : x
  2. Step 2: Convert to fraction form
    150.65/206.64 = 141.83/x
  3. Step 3: Cross multiply
    150.65x = 206.64 × 141.83
  4. Step 4: Simplify right side
    150.65x = 29,307.75
  5. Step 5: Solve for x
    x = 29,307.75/150.65
  6. Step 6: Final answer
    x = 194.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.