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Finding the Fourth Proportional to 147.19, 219.71 and 136.33

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Solution

The fourth proportional to 147.19, 219.71 and 136.33 is: 203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.19 : 219.71 = 136.33 : x
  2. Step 2: Convert to fraction form
    147.19/219.71 = 136.33/x
  3. Step 3: Cross multiply
    147.19x = 219.71 × 136.33
  4. Step 4: Simplify right side
    147.19x = 29,953.06
  5. Step 5: Solve for x
    x = 29,953.06/147.19
  6. Step 6: Final answer
    x = 203.50

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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.