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Finding the Fourth Proportional to 339.66, 511.98 and 317.40

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Solution

The fourth proportional to 339.66, 511.98 and 317.40 is: 478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.66 : 511.98 = 317.40 : x
  2. Step 2: Convert to fraction form
    339.66/511.98 = 317.40/x
  3. Step 3: Cross multiply
    339.66x = 511.98 × 317.40
  4. Step 4: Simplify right side
    339.66x = 162,502.45
  5. Step 5: Solve for x
    x = 162,502.45/339.66
  6. Step 6: Final answer
    x = 478.43

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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.