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Finding the Fourth Proportional to 298.13, 410.67 and 283.55

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Solution

The fourth proportional to 298.13, 410.67 and 283.55 is: 390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.13 : 410.67 = 283.55 : x
  2. Step 2: Convert to fraction form
    298.13/410.67 = 283.55/x
  3. Step 3: Cross multiply
    298.13x = 410.67 × 283.55
  4. Step 4: Simplify right side
    298.13x = 116,443.43
  5. Step 5: Solve for x
    x = 116,443.43/298.13
  6. Step 6: Final answer
    x = 390.59

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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.