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Finding the Fourth Proportional to 344.02, 513.39 and 314.86

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Solution

The fourth proportional to 344.02, 513.39 and 314.86 is: 469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.02 : 513.39 = 314.86 : x
  2. Step 2: Convert to fraction form
    344.02/513.39 = 314.86/x
  3. Step 3: Cross multiply
    344.02x = 513.39 × 314.86
  4. Step 4: Simplify right side
    344.02x = 161,646.51
  5. Step 5: Solve for x
    x = 161,646.51/344.02
  6. Step 6: Final answer
    x = 469.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.