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Finding the Fourth Proportional to 283.94, 390.18 and 271.08

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Solution

The fourth proportional to 283.94, 390.18 and 271.08 is: 372.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.94 : 390.18 = 271.08 : x
  2. Step 2: Convert to fraction form
    283.94/390.18 = 271.08/x
  3. Step 3: Cross multiply
    283.94x = 390.18 × 271.08
  4. Step 4: Simplify right side
    283.94x = 105,769.99
  5. Step 5: Solve for x
    x = 105,769.99/283.94
  6. Step 6: Final answer
    x = 372.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.