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Finding the Fourth Proportional to 543.94, 815.91 and 178.76

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Solution

The fourth proportional to 543.94, 815.91 and 178.76 is: 268.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.94 : 815.91 = 178.76 : x
  2. Step 2: Convert to fraction form
    543.94/815.91 = 178.76/x
  3. Step 3: Cross multiply
    543.94x = 815.91 × 178.76
  4. Step 4: Simplify right side
    543.94x = 145,852.07
  5. Step 5: Solve for x
    x = 145,852.07/543.94
  6. Step 6: Final answer
    x = 268.14

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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.