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Finding the Fourth Proportional to 176.40, 240.90 and 174.48

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Solution

The fourth proportional to 176.40, 240.90 and 174.48 is: 238.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.40 : 240.90 = 174.48 : x
  2. Step 2: Convert to fraction form
    176.40/240.90 = 174.48/x
  3. Step 3: Cross multiply
    176.40x = 240.90 × 174.48
  4. Step 4: Simplify right side
    176.40x = 42,032.23
  5. Step 5: Solve for x
    x = 42,032.23/176.40
  6. Step 6: Final answer
    x = 238.28

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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.