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Finding the Fourth Proportional to 147.30, 219.53 and 144.23

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Solution

The fourth proportional to 147.30, 219.53 and 144.23 is: 214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.30 : 219.53 = 144.23 : x
  2. Step 2: Convert to fraction form
    147.30/219.53 = 144.23/x
  3. Step 3: Cross multiply
    147.30x = 219.53 × 144.23
  4. Step 4: Simplify right side
    147.30x = 31,660.99
  5. Step 5: Solve for x
    x = 31,660.99/147.30
  6. Step 6: Final answer
    x = 214.94

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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.