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Finding the Fourth Proportional to 364.21, 546.19 and 158.72

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Solution

The fourth proportional to 364.21, 546.19 and 158.72 is: 238.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.21 : 546.19 = 158.72 : x
  2. Step 2: Convert to fraction form
    364.21/546.19 = 158.72/x
  3. Step 3: Cross multiply
    364.21x = 546.19 × 158.72
  4. Step 4: Simplify right side
    364.21x = 86,688.15
  5. Step 5: Solve for x
    x = 86,688.15/364.21
  6. Step 6: Final answer
    x = 238.02

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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.