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Finding the Fourth Proportional to 147.04, 202.80 and 125.28

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Solution

The fourth proportional to 147.04, 202.80 and 125.28 is: 172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.04 : 202.80 = 125.28 : x
  2. Step 2: Convert to fraction form
    147.04/202.80 = 125.28/x
  3. Step 3: Cross multiply
    147.04x = 202.80 × 125.28
  4. Step 4: Simplify right side
    147.04x = 25,406.78
  5. Step 5: Solve for x
    x = 25,406.78/147.04
  6. Step 6: Final answer
    x = 172.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.