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Finding the Fourth Proportional to 147.77, 220.37 and 146.41

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Solution

The fourth proportional to 147.77, 220.37 and 146.41 is: 218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.77 : 220.37 = 146.41 : x
  2. Step 2: Convert to fraction form
    147.77/220.37 = 146.41/x
  3. Step 3: Cross multiply
    147.77x = 220.37 × 146.41
  4. Step 4: Simplify right side
    147.77x = 32,263.91
  5. Step 5: Solve for x
    x = 32,263.91/147.77
  6. Step 6: Final answer
    x = 218.33

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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.