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Finding the Fourth Proportional to 385.58, 578.48 and 129.26

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Solution

The fourth proportional to 385.58, 578.48 and 129.26 is: 193.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.58 : 578.48 = 129.26 : x
  2. Step 2: Convert to fraction form
    385.58/578.48 = 129.26/x
  3. Step 3: Cross multiply
    385.58x = 578.48 × 129.26
  4. Step 4: Simplify right side
    385.58x = 74,774.32
  5. Step 5: Solve for x
    x = 74,774.32/385.58
  6. Step 6: Final answer
    x = 193.93

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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.