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Finding the Fourth Proportional to 152.22, 211.12 and 146.72

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Solution

The fourth proportional to 152.22, 211.12 and 146.72 is: 203.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.22 : 211.12 = 146.72 : x
  2. Step 2: Convert to fraction form
    152.22/211.12 = 146.72/x
  3. Step 3: Cross multiply
    152.22x = 211.12 × 146.72
  4. Step 4: Simplify right side
    152.22x = 30,975.53
  5. Step 5: Solve for x
    x = 30,975.53/152.22
  6. Step 6: Final answer
    x = 203.49

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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.