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Finding the Fourth Proportional to 283.74, 425.61 and 78.30

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Solution

The fourth proportional to 283.74, 425.61 and 78.30 is: 117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.74 : 425.61 = 78.30 : x
  2. Step 2: Convert to fraction form
    283.74/425.61 = 78.30/x
  3. Step 3: Cross multiply
    283.74x = 425.61 × 78.30
  4. Step 4: Simplify right side
    283.74x = 33,325.26
  5. Step 5: Solve for x
    x = 33,325.26/283.74
  6. Step 6: Final answer
    x = 117.45

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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.