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Finding the Fourth Proportional to 305.06, 457.50 and 142.58

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Solution

The fourth proportional to 305.06, 457.50 and 142.58 is: 213.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.06 : 457.50 = 142.58 : x
  2. Step 2: Convert to fraction form
    305.06/457.50 = 142.58/x
  3. Step 3: Cross multiply
    305.06x = 457.50 × 142.58
  4. Step 4: Simplify right side
    305.06x = 65,230.35
  5. Step 5: Solve for x
    x = 65,230.35/305.06
  6. Step 6: Final answer
    x = 213.83

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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.