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Finding the Fourth Proportional to 288.99, 431.21 and 271.50

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Solution

The fourth proportional to 288.99, 431.21 and 271.50 is: 405.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.99 : 431.21 = 271.50 : x
  2. Step 2: Convert to fraction form
    288.99/431.21 = 271.50/x
  3. Step 3: Cross multiply
    288.99x = 431.21 × 271.50
  4. Step 4: Simplify right side
    288.99x = 117,072.16
  5. Step 5: Solve for x
    x = 117,072.16/288.99
  6. Step 6: Final answer
    x = 405.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.