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Finding the Fourth Proportional to 301.73, 450.87 and 253.13

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Solution

The fourth proportional to 301.73, 450.87 and 253.13 is: 378.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.73 : 450.87 = 253.13 : x
  2. Step 2: Convert to fraction form
    301.73/450.87 = 253.13/x
  3. Step 3: Cross multiply
    301.73x = 450.87 × 253.13
  4. Step 4: Simplify right side
    301.73x = 114,125.52
  5. Step 5: Solve for x
    x = 114,125.52/301.73
  6. Step 6: Final answer
    x = 378.24

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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.