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Finding the Fourth Proportional to 147.50, 222.08 and 130.48

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Solution

The fourth proportional to 147.50, 222.08 and 130.48 is: 196.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.50 : 222.08 = 130.48 : x
  2. Step 2: Convert to fraction form
    147.50/222.08 = 130.48/x
  3. Step 3: Cross multiply
    147.50x = 222.08 × 130.48
  4. Step 4: Simplify right side
    147.50x = 28,977.00
  5. Step 5: Solve for x
    x = 28,977.00/147.50
  6. Step 6: Final answer
    x = 196.45

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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.