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Finding the Fourth Proportional to 305.26, 457.70 and 142.78

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Solution

The fourth proportional to 305.26, 457.70 and 142.78 is: 214.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.26 : 457.70 = 142.78 : x
  2. Step 2: Convert to fraction form
    305.26/457.70 = 142.78/x
  3. Step 3: Cross multiply
    305.26x = 457.70 × 142.78
  4. Step 4: Simplify right side
    305.26x = 65,350.41
  5. Step 5: Solve for x
    x = 65,350.41/305.26
  6. Step 6: Final answer
    x = 214.08

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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.