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Finding the Fourth Proportional to 364.05, 546.08 and 104.05

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Solution

The fourth proportional to 364.05, 546.08 and 104.05 is: 156.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.05 : 546.08 = 104.05 : x
  2. Step 2: Convert to fraction form
    364.05/546.08 = 104.05/x
  3. Step 3: Cross multiply
    364.05x = 546.08 × 104.05
  4. Step 4: Simplify right side
    364.05x = 56,820.18
  5. Step 5: Solve for x
    x = 56,820.18/364.05
  6. Step 6: Final answer
    x = 156.08

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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.