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Finding the Fourth Proportional to 157.05, 217.76 and 148.85

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Solution

The fourth proportional to 157.05, 217.76 and 148.85 is: 206.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.05 : 217.76 = 148.85 : x
  2. Step 2: Convert to fraction form
    157.05/217.76 = 148.85/x
  3. Step 3: Cross multiply
    157.05x = 217.76 × 148.85
  4. Step 4: Simplify right side
    157.05x = 32,411.74
  5. Step 5: Solve for x
    x = 32,411.74/157.05
  6. Step 6: Final answer
    x = 206.38

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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.