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Finding the Fourth Proportional to 146.57, 218.55 and 139.38

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Solution

The fourth proportional to 146.57, 218.55 and 139.38 is: 207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.57 : 218.55 = 139.38 : x
  2. Step 2: Convert to fraction form
    146.57/218.55 = 139.38/x
  3. Step 3: Cross multiply
    146.57x = 218.55 × 139.38
  4. Step 4: Simplify right side
    146.57x = 30,461.50
  5. Step 5: Solve for x
    x = 30,461.50/146.57
  6. Step 6: Final answer
    x = 207.84

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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.