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Finding the Fourth Proportional to 486.31, 729 and 178

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Solution

The fourth proportional to 486.31, 729 and 178 is: 266.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.31 : 729 = 178 : x
  2. Step 2: Convert to fraction form
    486.31/729 = 178/x
  3. Step 3: Cross multiply
    486.31x = 729 × 178
  4. Step 4: Simplify right side
    486.31x = 129,762
  5. Step 5: Solve for x
    x = 129,762/486.31
  6. Step 6: Final answer
    x = 266.83

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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.