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Finding the Fourth Proportional to 147.48, 220.38 and 120.45

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Solution

The fourth proportional to 147.48, 220.38 and 120.45 is: 179.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.48 : 220.38 = 120.45 : x
  2. Step 2: Convert to fraction form
    147.48/220.38 = 120.45/x
  3. Step 3: Cross multiply
    147.48x = 220.38 × 120.45
  4. Step 4: Simplify right side
    147.48x = 26,544.77
  5. Step 5: Solve for x
    x = 26,544.77/147.48
  6. Step 6: Final answer
    x = 179.99

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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.