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Finding the Fourth Proportional to 283.40, 425.02 and 100.84

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Solution

The fourth proportional to 283.40, 425.02 and 100.84 is: 151.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.40 : 425.02 = 100.84 : x
  2. Step 2: Convert to fraction form
    283.40/425.02 = 100.84/x
  3. Step 3: Cross multiply
    283.40x = 425.02 × 100.84
  4. Step 4: Simplify right side
    283.40x = 42,859.02
  5. Step 5: Solve for x
    x = 42,859.02/283.40
  6. Step 6: Final answer
    x = 151.23

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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.