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Finding the Fourth Proportional to 174.02, 240.05 and 103.10

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Solution

The fourth proportional to 174.02, 240.05 and 103.10 is: 142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.02 : 240.05 = 103.10 : x
  2. Step 2: Convert to fraction form
    174.02/240.05 = 103.10/x
  3. Step 3: Cross multiply
    174.02x = 240.05 × 103.10
  4. Step 4: Simplify right side
    174.02x = 24,749.16
  5. Step 5: Solve for x
    x = 24,749.16/174.02
  6. Step 6: Final answer
    x = 142.22

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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.