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Finding the Fourth Proportional to 130.15, 178.81 and 105.51

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Solution

The fourth proportional to 130.15, 178.81 and 105.51 is: 144.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.15 : 178.81 = 105.51 : x
  2. Step 2: Convert to fraction form
    130.15/178.81 = 105.51/x
  3. Step 3: Cross multiply
    130.15x = 178.81 × 105.51
  4. Step 4: Simplify right side
    130.15x = 18,866.24
  5. Step 5: Solve for x
    x = 18,866.24/130.15
  6. Step 6: Final answer
    x = 144.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.