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Finding the Fourth Proportional to 410.14, 615.34 and 178.94

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Solution

The fourth proportional to 410.14, 615.34 and 178.94 is: 268.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.14 : 615.34 = 178.94 : x
  2. Step 2: Convert to fraction form
    410.14/615.34 = 178.94/x
  3. Step 3: Cross multiply
    410.14x = 615.34 × 178.94
  4. Step 4: Simplify right side
    410.14x = 110,108.94
  5. Step 5: Solve for x
    x = 110,108.94/410.14
  6. Step 6: Final answer
    x = 268.47

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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.