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Finding the Fourth Proportional to 340.26, 511.13 and 317.76

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Solution

The fourth proportional to 340.26, 511.13 and 317.76 is: 477.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.26 : 511.13 = 317.76 : x
  2. Step 2: Convert to fraction form
    340.26/511.13 = 317.76/x
  3. Step 3: Cross multiply
    340.26x = 511.13 × 317.76
  4. Step 4: Simplify right side
    340.26x = 162,416.67
  5. Step 5: Solve for x
    x = 162,416.67/340.26
  6. Step 6: Final answer
    x = 477.33

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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.