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Finding the Fourth Proportional to 399.30, 598.92 and 283.86

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Solution

The fourth proportional to 399.30, 598.92 and 283.86 is: 425.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.30 : 598.92 = 283.86 : x
  2. Step 2: Convert to fraction form
    399.30/598.92 = 283.86/x
  3. Step 3: Cross multiply
    399.30x = 598.92 × 283.86
  4. Step 4: Simplify right side
    399.30x = 170,009.43
  5. Step 5: Solve for x
    x = 170,009.43/399.30
  6. Step 6: Final answer
    x = 425.77

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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.