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Finding the Fourth Proportional to 283.11, 423.59 and 214.40

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Solution

The fourth proportional to 283.11, 423.59 and 214.40 is: 320.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.11 : 423.59 = 214.40 : x
  2. Step 2: Convert to fraction form
    283.11/423.59 = 214.40/x
  3. Step 3: Cross multiply
    283.11x = 423.59 × 214.40
  4. Step 4: Simplify right side
    283.11x = 90,814.51
  5. Step 5: Solve for x
    x = 90,814.51/283.11
  6. Step 6: Final answer
    x = 320.77

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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.