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Finding the Fourth Proportional to 253, 378.84 and 171.46

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Solution

The fourth proportional to 253, 378.84 and 171.46 is: 256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    253 : 378.84 = 171.46 : x
  2. Step 2: Convert to fraction form
    253/378.84 = 171.46/x
  3. Step 3: Cross multiply
    253x = 378.84 × 171.46
  4. Step 4: Simplify right side
    253x = 64,955.91
  5. Step 5: Solve for x
    x = 64,955.91/253
  6. Step 6: Final answer
    x = 256.74

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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.