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Finding the Fourth Proportional to 176.88, 245.40 and 175.26

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Solution

The fourth proportional to 176.88, 245.40 and 175.26 is: 243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.88 : 245.40 = 175.26 : x
  2. Step 2: Convert to fraction form
    176.88/245.40 = 175.26/x
  3. Step 3: Cross multiply
    176.88x = 245.40 × 175.26
  4. Step 4: Simplify right side
    176.88x = 43,008.80
  5. Step 5: Solve for x
    x = 43,008.80/176.88
  6. Step 6: Final answer
    x = 243.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.