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Finding the Fourth Proportional to 283.57, 423.80 and 206.01

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Solution

The fourth proportional to 283.57, 423.80 and 206.01 is: 307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.57 : 423.80 = 206.01 : x
  2. Step 2: Convert to fraction form
    283.57/423.80 = 206.01/x
  3. Step 3: Cross multiply
    283.57x = 423.80 × 206.01
  4. Step 4: Simplify right side
    283.57x = 87,306.78
  5. Step 5: Solve for x
    x = 87,306.78/283.57
  6. Step 6: Final answer
    x = 307.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.