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Finding the Fourth Proportional to 147.70, 203.08 and 130.23

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Solution

The fourth proportional to 147.70, 203.08 and 130.23 is: 179.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.70 : 203.08 = 130.23 : x
  2. Step 2: Convert to fraction form
    147.70/203.08 = 130.23/x
  3. Step 3: Cross multiply
    147.70x = 203.08 × 130.23
  4. Step 4: Simplify right side
    147.70x = 26,447.11
  5. Step 5: Solve for x
    x = 26,447.11/147.70
  6. Step 6: Final answer
    x = 179.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.