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Finding the Fourth Proportional to 487.12, 730.78 and 178.99

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Solution

The fourth proportional to 487.12, 730.78 and 178.99 is: 268.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.12 : 730.78 = 178.99 : x
  2. Step 2: Convert to fraction form
    487.12/730.78 = 178.99/x
  3. Step 3: Cross multiply
    487.12x = 730.78 × 178.99
  4. Step 4: Simplify right side
    487.12x = 130,805.03
  5. Step 5: Solve for x
    x = 130,805.03/487.12
  6. Step 6: Final answer
    x = 268.53

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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.