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Finding the Fourth Proportional to 283.13, 390.86 and 213.08

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Solution

The fourth proportional to 283.13, 390.86 and 213.08 is: 294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.13 : 390.86 = 213.08 : x
  2. Step 2: Convert to fraction form
    283.13/390.86 = 213.08/x
  3. Step 3: Cross multiply
    283.13x = 390.86 × 213.08
  4. Step 4: Simplify right side
    283.13x = 83,281.43
  5. Step 5: Solve for x
    x = 83,281.43/283.13
  6. Step 6: Final answer
    x = 294.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.