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Finding the Fourth Proportional to 130.67, 180.45 and 114.05

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Solution

The fourth proportional to 130.67, 180.45 and 114.05 is: 157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.67 : 180.45 = 114.05 : x
  2. Step 2: Convert to fraction form
    130.67/180.45 = 114.05/x
  3. Step 3: Cross multiply
    130.67x = 180.45 × 114.05
  4. Step 4: Simplify right side
    130.67x = 20,579.42
  5. Step 5: Solve for x
    x = 20,579.42/130.67
  6. Step 6: Final answer
    x = 157.50

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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.