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Finding the Fourth Proportional to 344.86, 517.49 and 317.32

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Solution

The fourth proportional to 344.86, 517.49 and 317.32 is: 476.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.86 : 517.49 = 317.32 : x
  2. Step 2: Convert to fraction form
    344.86/517.49 = 317.32/x
  3. Step 3: Cross multiply
    344.86x = 517.49 × 317.32
  4. Step 4: Simplify right side
    344.86x = 164,208.24
  5. Step 5: Solve for x
    x = 164,208.24/344.86
  6. Step 6: Final answer
    x = 476.16

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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.