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Finding the Fourth Proportional to 305.08, 457.40 and 142.68

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Solution

The fourth proportional to 305.08, 457.40 and 142.68 is: 213.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.08 : 457.40 = 142.68 : x
  2. Step 2: Convert to fraction form
    305.08/457.40 = 142.68/x
  3. Step 3: Cross multiply
    305.08x = 457.40 × 142.68
  4. Step 4: Simplify right side
    305.08x = 65,261.83
  5. Step 5: Solve for x
    x = 65,261.83/305.08
  6. Step 6: Final answer
    x = 213.92

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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.