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Finding the Fourth Proportional to 508.16, 701.37 and 298.44

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Solution

The fourth proportional to 508.16, 701.37 and 298.44 is: 411.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.16 : 701.37 = 298.44 : x
  2. Step 2: Convert to fraction form
    508.16/701.37 = 298.44/x
  3. Step 3: Cross multiply
    508.16x = 701.37 × 298.44
  4. Step 4: Simplify right side
    508.16x = 209,316.86
  5. Step 5: Solve for x
    x = 209,316.86/508.16
  6. Step 6: Final answer
    x = 411.91

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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.