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Finding the Fourth Proportional to 410.99, 615.94 and 179.53

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Solution

The fourth proportional to 410.99, 615.94 and 179.53 is: 269.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.99 : 615.94 = 179.53 : x
  2. Step 2: Convert to fraction form
    410.99/615.94 = 179.53/x
  3. Step 3: Cross multiply
    410.99x = 615.94 × 179.53
  4. Step 4: Simplify right side
    410.99x = 110,579.71
  5. Step 5: Solve for x
    x = 110,579.71/410.99
  6. Step 6: Final answer
    x = 269.06

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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.