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Finding the Fourth Proportional to 311.68, 424.67 and 305.02

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Solution

The fourth proportional to 311.68, 424.67 and 305.02 is: 415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.68 : 424.67 = 305.02 : x
  2. Step 2: Convert to fraction form
    311.68/424.67 = 305.02/x
  3. Step 3: Cross multiply
    311.68x = 424.67 × 305.02
  4. Step 4: Simplify right side
    311.68x = 129,530.72
  5. Step 5: Solve for x
    x = 129,530.72/311.68
  6. Step 6: Final answer
    x = 415.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.