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Finding the Fourth Proportional to 157.10, 215.51 and 155.84

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Solution

The fourth proportional to 157.10, 215.51 and 155.84 is: 213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.10 : 215.51 = 155.84 : x
  2. Step 2: Convert to fraction form
    157.10/215.51 = 155.84/x
  3. Step 3: Cross multiply
    157.10x = 215.51 × 155.84
  4. Step 4: Simplify right side
    157.10x = 33,584.39
  5. Step 5: Solve for x
    x = 33,584.39/157.10
  6. Step 6: Final answer
    x = 213.78

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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.