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Finding the Fourth Proportional to 484.08, 726.04 and 142

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Solution

The fourth proportional to 484.08, 726.04 and 142 is: 212.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.08 : 726.04 = 142 : x
  2. Step 2: Convert to fraction form
    484.08/726.04 = 142/x
  3. Step 3: Cross multiply
    484.08x = 726.04 × 142
  4. Step 4: Simplify right side
    484.08x = 103,097.68
  5. Step 5: Solve for x
    x = 103,097.68/484.08
  6. Step 6: Final answer
    x = 212.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.