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Finding the Fourth Proportional to 152.42, 211.80 and 150.83

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Solution

The fourth proportional to 152.42, 211.80 and 150.83 is: 209.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.42 : 211.80 = 150.83 : x
  2. Step 2: Convert to fraction form
    152.42/211.80 = 150.83/x
  3. Step 3: Cross multiply
    152.42x = 211.80 × 150.83
  4. Step 4: Simplify right side
    152.42x = 31,945.76
  5. Step 5: Solve for x
    x = 31,945.76/152.42
  6. Step 6: Final answer
    x = 209.59

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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.