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Finding the Fourth Proportional to 157.69, 215.74 and 157.01

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Solution

The fourth proportional to 157.69, 215.74 and 157.01 is: 214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.69 : 215.74 = 157.01 : x
  2. Step 2: Convert to fraction form
    157.69/215.74 = 157.01/x
  3. Step 3: Cross multiply
    157.69x = 215.74 × 157.01
  4. Step 4: Simplify right side
    157.69x = 33,872.26
  5. Step 5: Solve for x
    x = 33,872.26/157.69
  6. Step 6: Final answer
    x = 214.80

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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.