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Finding the Fourth Proportional to 305.34, 457.50 and 142.80

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Solution

The fourth proportional to 305.34, 457.50 and 142.80 is: 213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.34 : 457.50 = 142.80 : x
  2. Step 2: Convert to fraction form
    305.34/457.50 = 142.80/x
  3. Step 3: Cross multiply
    305.34x = 457.50 × 142.80
  4. Step 4: Simplify right side
    305.34x = 65,329.02
  5. Step 5: Solve for x
    x = 65,329.02/305.34
  6. Step 6: Final answer
    x = 213.96

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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.