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Finding the Fourth Proportional to 157.23, 215.64 and 155.43

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Solution

The fourth proportional to 157.23, 215.64 and 155.43 is: 213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.23 : 215.64 = 155.43 : x
  2. Step 2: Convert to fraction form
    157.23/215.64 = 155.43/x
  3. Step 3: Cross multiply
    157.23x = 215.64 × 155.43
  4. Step 4: Simplify right side
    157.23x = 33,516.93
  5. Step 5: Solve for x
    x = 33,516.93/157.23
  6. Step 6: Final answer
    x = 213.17

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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.