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Finding the Fourth Proportional to 188.67, 260.13 and 153.57

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Solution

The fourth proportional to 188.67, 260.13 and 153.57 is: 211.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.67 : 260.13 = 153.57 : x
  2. Step 2: Convert to fraction form
    188.67/260.13 = 153.57/x
  3. Step 3: Cross multiply
    188.67x = 260.13 × 153.57
  4. Step 4: Simplify right side
    188.67x = 39,948.16
  5. Step 5: Solve for x
    x = 39,948.16/188.67
  6. Step 6: Final answer
    x = 211.74

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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.