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Finding the Fourth Proportional to 283.53, 390.26 and 253.92

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Solution

The fourth proportional to 283.53, 390.26 and 253.92 is: 349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.53 : 390.26 = 253.92 : x
  2. Step 2: Convert to fraction form
    283.53/390.26 = 253.92/x
  3. Step 3: Cross multiply
    283.53x = 390.26 × 253.92
  4. Step 4: Simplify right side
    283.53x = 99,093.55
  5. Step 5: Solve for x
    x = 99,093.55/283.53
  6. Step 6: Final answer
    x = 349.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.