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Finding the Fourth Proportional to 253.83, 377.75 and 253.02

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Solution

The fourth proportional to 253.83, 377.75 and 253.02 is: 376.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.83 : 377.75 = 253.02 : x
  2. Step 2: Convert to fraction form
    253.83/377.75 = 253.02/x
  3. Step 3: Cross multiply
    253.83x = 377.75 × 253.02
  4. Step 4: Simplify right side
    253.83x = 95,577.04
  5. Step 5: Solve for x
    x = 95,577.04/253.83
  6. Step 6: Final answer
    x = 376.54

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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.