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Finding the Fourth Proportional to 287.55, 433.65 and 271.76

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Solution

The fourth proportional to 287.55, 433.65 and 271.76 is: 409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.55 : 433.65 = 271.76 : x
  2. Step 2: Convert to fraction form
    287.55/433.65 = 271.76/x
  3. Step 3: Cross multiply
    287.55x = 433.65 × 271.76
  4. Step 4: Simplify right side
    287.55x = 117,847.57
  5. Step 5: Solve for x
    x = 117,847.57/287.55
  6. Step 6: Final answer
    x = 409.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.