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Finding the Fourth Proportional to 284.20, 420.50 and 283.40

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Solution

The fourth proportional to 284.20, 420.50 and 283.40 is: 419.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.20 : 420.50 = 283.40 : x
  2. Step 2: Convert to fraction form
    284.20/420.50 = 283.40/x
  3. Step 3: Cross multiply
    284.20x = 420.50 × 283.40
  4. Step 4: Simplify right side
    284.20x = 119,169.70
  5. Step 5: Solve for x
    x = 119,169.70/284.20
  6. Step 6: Final answer
    x = 419.32

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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.