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Finding the Fourth Proportional to 157.04, 236.45 and 109.25

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Solution

The fourth proportional to 157.04, 236.45 and 109.25 is: 164.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.04 : 236.45 = 109.25 : x
  2. Step 2: Convert to fraction form
    157.04/236.45 = 109.25/x
  3. Step 3: Cross multiply
    157.04x = 236.45 × 109.25
  4. Step 4: Simplify right side
    157.04x = 25,832.16
  5. Step 5: Solve for x
    x = 25,832.16/157.04
  6. Step 6: Final answer
    x = 164.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.