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Finding the Fourth Proportional to 147.04, 202.72 and 103.36

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Solution

The fourth proportional to 147.04, 202.72 and 103.36 is: 142.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.04 : 202.72 = 103.36 : x
  2. Step 2: Convert to fraction form
    147.04/202.72 = 103.36/x
  3. Step 3: Cross multiply
    147.04x = 202.72 × 103.36
  4. Step 4: Simplify right side
    147.04x = 20,953.14
  5. Step 5: Solve for x
    x = 20,953.14/147.04
  6. Step 6: Final answer
    x = 142.50

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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.