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Finding the Fourth Proportional to 253.02, 378.80 and 171.72

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Solution

The fourth proportional to 253.02, 378.80 and 171.72 is: 257.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.02 : 378.80 = 171.72 : x
  2. Step 2: Convert to fraction form
    253.02/378.80 = 171.72/x
  3. Step 3: Cross multiply
    253.02x = 378.80 × 171.72
  4. Step 4: Simplify right side
    253.02x = 65,047.54
  5. Step 5: Solve for x
    x = 65,047.54/253.02
  6. Step 6: Final answer
    x = 257.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.