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Finding the Fourth Proportional to 146.87, 220.40 and 55.64

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Solution

The fourth proportional to 146.87, 220.40 and 55.64 is: 83.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.87 : 220.40 = 55.64 : x
  2. Step 2: Convert to fraction form
    146.87/220.40 = 55.64/x
  3. Step 3: Cross multiply
    146.87x = 220.40 × 55.64
  4. Step 4: Simplify right side
    146.87x = 12,263.06
  5. Step 5: Solve for x
    x = 12,263.06/146.87
  6. Step 6: Final answer
    x = 83.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.