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Finding the Fourth Proportional to 175.02, 241.53 and 100.35

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Solution

The fourth proportional to 175.02, 241.53 and 100.35 is: 138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.02 : 241.53 = 100.35 : x
  2. Step 2: Convert to fraction form
    175.02/241.53 = 100.35/x
  3. Step 3: Cross multiply
    175.02x = 241.53 × 100.35
  4. Step 4: Simplify right side
    175.02x = 24,237.54
  5. Step 5: Solve for x
    x = 24,237.54/175.02
  6. Step 6: Final answer
    x = 138.48

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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.