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Finding the Fourth Proportional to 305.74, 457.38 and 245

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Solution

The fourth proportional to 305.74, 457.38 and 245 is: 366.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.74 : 457.38 = 245 : x
  2. Step 2: Convert to fraction form
    305.74/457.38 = 245/x
  3. Step 3: Cross multiply
    305.74x = 457.38 × 245
  4. Step 4: Simplify right side
    305.74x = 112,058.10
  5. Step 5: Solve for x
    x = 112,058.10/305.74
  6. Step 6: Final answer
    x = 366.51

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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.