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Finding the Fourth Proportional to 311.86, 468.80 and 302.14

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Solution

The fourth proportional to 311.86, 468.80 and 302.14 is: 454.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.86 : 468.80 = 302.14 : x
  2. Step 2: Convert to fraction form
    311.86/468.80 = 302.14/x
  3. Step 3: Cross multiply
    311.86x = 468.80 × 302.14
  4. Step 4: Simplify right side
    311.86x = 141,639.38
  5. Step 5: Solve for x
    x = 141,639.38/311.86
  6. Step 6: Final answer
    x = 454.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.