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Finding the Fourth Proportional to 188.34, 259.23 and 160.62

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Solution

The fourth proportional to 188.34, 259.23 and 160.62 is: 221.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.34 : 259.23 = 160.62 : x
  2. Step 2: Convert to fraction form
    188.34/259.23 = 160.62/x
  3. Step 3: Cross multiply
    188.34x = 259.23 × 160.62
  4. Step 4: Simplify right side
    188.34x = 41,637.52
  5. Step 5: Solve for x
    x = 41,637.52/188.34
  6. Step 6: Final answer
    x = 221.08

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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.