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Finding the Fourth Proportional to 180.07, 268.95 and 141.59

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Solution

The fourth proportional to 180.07, 268.95 and 141.59 is: 211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.07 : 268.95 = 141.59 : x
  2. Step 2: Convert to fraction form
    180.07/268.95 = 141.59/x
  3. Step 3: Cross multiply
    180.07x = 268.95 × 141.59
  4. Step 4: Simplify right side
    180.07x = 38,080.63
  5. Step 5: Solve for x
    x = 38,080.63/180.07
  6. Step 6: Final answer
    x = 211.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.