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Finding the Fourth Proportional to 364.68, 546.96 and 142.32

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Solution

The fourth proportional to 364.68, 546.96 and 142.32 is: 213.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.68 : 546.96 = 142.32 : x
  2. Step 2: Convert to fraction form
    364.68/546.96 = 142.32/x
  3. Step 3: Cross multiply
    364.68x = 546.96 × 142.32
  4. Step 4: Simplify right side
    364.68x = 77,843.35
  5. Step 5: Solve for x
    x = 77,843.35/364.68
  6. Step 6: Final answer
    x = 213.46

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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.