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Finding the Fourth Proportional to 271.59, 407.04 and 178.86

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Solution

The fourth proportional to 271.59, 407.04 and 178.86 is: 268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.59 : 407.04 = 178.86 : x
  2. Step 2: Convert to fraction form
    271.59/407.04 = 178.86/x
  3. Step 3: Cross multiply
    271.59x = 407.04 × 178.86
  4. Step 4: Simplify right side
    271.59x = 72,803.17
  5. Step 5: Solve for x
    x = 72,803.17/271.59
  6. Step 6: Final answer
    x = 268.06

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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.