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Finding the Fourth Proportional to 146.60, 220.76 and 130.50

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Solution

The fourth proportional to 146.60, 220.76 and 130.50 is: 196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.60 : 220.76 = 130.50 : x
  2. Step 2: Convert to fraction form
    146.60/220.76 = 130.50/x
  3. Step 3: Cross multiply
    146.60x = 220.76 × 130.50
  4. Step 4: Simplify right side
    146.60x = 28,808.53
  5. Step 5: Solve for x
    x = 28,808.53/146.60
  6. Step 6: Final answer
    x = 196.52

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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.