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Finding the Fourth Proportional to 340.81, 513.81 and 317.32

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Solution

The fourth proportional to 340.81, 513.81 and 317.32 is: 478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.81 : 513.81 = 317.32 : x
  2. Step 2: Convert to fraction form
    340.81/513.81 = 317.32/x
  3. Step 3: Cross multiply
    340.81x = 513.81 × 317.32
  4. Step 4: Simplify right side
    340.81x = 163,040.90
  5. Step 5: Solve for x
    x = 163,040.90/340.81
  6. Step 6: Final answer
    x = 478.40

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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.