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Finding the Fourth Proportional to 305.36, 457.50 and 253.70

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Solution

The fourth proportional to 305.36, 457.50 and 253.70 is: 380.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.36 : 457.50 = 253.70 : x
  2. Step 2: Convert to fraction form
    305.36/457.50 = 253.70/x
  3. Step 3: Cross multiply
    305.36x = 457.50 × 253.70
  4. Step 4: Simplify right side
    305.36x = 116,067.75
  5. Step 5: Solve for x
    x = 116,067.75/305.36
  6. Step 6: Final answer
    x = 380.10

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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.