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Finding the Fourth Proportional to 305.14, 457.71 and 142.87

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Solution

The fourth proportional to 305.14, 457.71 and 142.87 is: 214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.14 : 457.71 = 142.87 : x
  2. Step 2: Convert to fraction form
    305.14/457.71 = 142.87/x
  3. Step 3: Cross multiply
    305.14x = 457.71 × 142.87
  4. Step 4: Simplify right side
    305.14x = 65,393.03
  5. Step 5: Solve for x
    x = 65,393.03/305.14
  6. Step 6: Final answer
    x = 214.31

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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.