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Finding the Fourth Proportional to 188.82, 259.74 and 157.20

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Solution

The fourth proportional to 188.82, 259.74 and 157.20 is: 216.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.82 : 259.74 = 157.20 : x
  2. Step 2: Convert to fraction form
    188.82/259.74 = 157.20/x
  3. Step 3: Cross multiply
    188.82x = 259.74 × 157.20
  4. Step 4: Simplify right side
    188.82x = 40,831.13
  5. Step 5: Solve for x
    x = 40,831.13/188.82
  6. Step 6: Final answer
    x = 216.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.