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Finding the Fourth Proportional to 180.69, 270.53 and 140.58

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Solution

The fourth proportional to 180.69, 270.53 and 140.58 is: 210.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.69 : 270.53 = 140.58 : x
  2. Step 2: Convert to fraction form
    180.69/270.53 = 140.58/x
  3. Step 3: Cross multiply
    180.69x = 270.53 × 140.58
  4. Step 4: Simplify right side
    180.69x = 38,030.40
  5. Step 5: Solve for x
    x = 38,030.40/180.69
  6. Step 6: Final answer
    x = 210.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.