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Finding the Fourth Proportional to 145.50, 219.25 and 120.39

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Solution

The fourth proportional to 145.50, 219.25 and 120.39 is: 181.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.50 : 219.25 = 120.39 : x
  2. Step 2: Convert to fraction form
    145.50/219.25 = 120.39/x
  3. Step 3: Cross multiply
    145.50x = 219.25 × 120.39
  4. Step 4: Simplify right side
    145.50x = 26,395.01
  5. Step 5: Solve for x
    x = 26,395.01/145.50
  6. Step 6: Final answer
    x = 181.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.