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Finding the Fourth Proportional to 340.26, 512.96 and 316.77

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Solution

The fourth proportional to 340.26, 512.96 and 316.77 is: 477.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.26 : 512.96 = 316.77 : x
  2. Step 2: Convert to fraction form
    340.26/512.96 = 316.77/x
  3. Step 3: Cross multiply
    340.26x = 512.96 × 316.77
  4. Step 4: Simplify right side
    340.26x = 162,490.34
  5. Step 5: Solve for x
    x = 162,490.34/340.26
  6. Step 6: Final answer
    x = 477.55

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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.