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Finding the Fourth Proportional to 157.98, 218.94 and 148.87

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Solution

The fourth proportional to 157.98, 218.94 and 148.87 is: 206.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.98 : 218.94 = 148.87 : x
  2. Step 2: Convert to fraction form
    157.98/218.94 = 148.87/x
  3. Step 3: Cross multiply
    157.98x = 218.94 × 148.87
  4. Step 4: Simplify right side
    157.98x = 32,593.31
  5. Step 5: Solve for x
    x = 32,593.31/157.98
  6. Step 6: Final answer
    x = 206.31

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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.