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Finding the Fourth Proportional to 253.04, 381.74 and 250.16

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Solution

The fourth proportional to 253.04, 381.74 and 250.16 is: 377.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.04 : 381.74 = 250.16 : x
  2. Step 2: Convert to fraction form
    253.04/381.74 = 250.16/x
  3. Step 3: Cross multiply
    253.04x = 381.74 × 250.16
  4. Step 4: Simplify right side
    253.04x = 95,496.08
  5. Step 5: Solve for x
    x = 95,496.08/253.04
  6. Step 6: Final answer
    x = 377.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.