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Finding the Fourth Proportional to 317.61, 435.15 and 308.70

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Solution

The fourth proportional to 317.61, 435.15 and 308.70 is: 422.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.61 : 435.15 = 308.70 : x
  2. Step 2: Convert to fraction form
    317.61/435.15 = 308.70/x
  3. Step 3: Cross multiply
    317.61x = 435.15 × 308.70
  4. Step 4: Simplify right side
    317.61x = 134,330.81
  5. Step 5: Solve for x
    x = 134,330.81/317.61
  6. Step 6: Final answer
    x = 422.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.