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Finding the Fourth Proportional to 175.63, 262.11 and 171.53

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Solution

The fourth proportional to 175.63, 262.11 and 171.53 is: 256.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.63 : 262.11 = 171.53 : x
  2. Step 2: Convert to fraction form
    175.63/262.11 = 171.53/x
  3. Step 3: Cross multiply
    175.63x = 262.11 × 171.53
  4. Step 4: Simplify right side
    175.63x = 44,960.38
  5. Step 5: Solve for x
    x = 44,960.38/175.63
  6. Step 6: Final answer
    x = 256.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.