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Finding the Fourth Proportional to 344.96, 519.32 and 315.20

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Solution

The fourth proportional to 344.96, 519.32 and 315.20 is: 474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.96 : 519.32 = 315.20 : x
  2. Step 2: Convert to fraction form
    344.96/519.32 = 315.20/x
  3. Step 3: Cross multiply
    344.96x = 519.32 × 315.20
  4. Step 4: Simplify right side
    344.96x = 163,689.66
  5. Step 5: Solve for x
    x = 163,689.66/344.96
  6. Step 6: Final answer
    x = 474.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.