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Finding the Fourth Proportional to 283.20, 419.02 and 282.40

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Solution

The fourth proportional to 283.20, 419.02 and 282.40 is: 417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.20 : 419.02 = 282.40 : x
  2. Step 2: Convert to fraction form
    283.20/419.02 = 282.40/x
  3. Step 3: Cross multiply
    283.20x = 419.02 × 282.40
  4. Step 4: Simplify right side
    283.20x = 118,331.25
  5. Step 5: Solve for x
    x = 118,331.25/283.20
  6. Step 6: Final answer
    x = 417.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.