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Finding the Fourth Proportional to 311.65, 464.40 and 291.14

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Solution

The fourth proportional to 311.65, 464.40 and 291.14 is: 433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.65 : 464.40 = 291.14 : x
  2. Step 2: Convert to fraction form
    311.65/464.40 = 291.14/x
  3. Step 3: Cross multiply
    311.65x = 464.40 × 291.14
  4. Step 4: Simplify right side
    311.65x = 135,206.22
  5. Step 5: Solve for x
    x = 135,206.22/311.65
  6. Step 6: Final answer
    x = 433.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.