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Finding the Fourth Proportional to 175.65, 242.64 and 171.20

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Solution

The fourth proportional to 175.65, 242.64 and 171.20 is: 236.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.65 : 242.64 = 171.20 : x
  2. Step 2: Convert to fraction form
    175.65/242.64 = 171.20/x
  3. Step 3: Cross multiply
    175.65x = 242.64 × 171.20
  4. Step 4: Simplify right side
    175.65x = 41,538.75
  5. Step 5: Solve for x
    x = 41,538.75/175.65
  6. Step 6: Final answer
    x = 236.49

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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.