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Finding the Fourth Proportional to 271.39, 407.90 and 238.99

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Solution

The fourth proportional to 271.39, 407.90 and 238.99 is: 359.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.39 : 407.90 = 238.99 : x
  2. Step 2: Convert to fraction form
    271.39/407.90 = 238.99/x
  3. Step 3: Cross multiply
    271.39x = 407.90 × 238.99
  4. Step 4: Simplify right side
    271.39x = 97,484.02
  5. Step 5: Solve for x
    x = 97,484.02/271.39
  6. Step 6: Final answer
    x = 359.20

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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.