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Finding the Fourth Proportional to 311.34, 469.95 and 309.72

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Solution

The fourth proportional to 311.34, 469.95 and 309.72 is: 467.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.34 : 469.95 = 309.72 : x
  2. Step 2: Convert to fraction form
    311.34/469.95 = 309.72/x
  3. Step 3: Cross multiply
    311.34x = 469.95 × 309.72
  4. Step 4: Simplify right side
    311.34x = 145,552.91
  5. Step 5: Solve for x
    x = 145,552.91/311.34
  6. Step 6: Final answer
    x = 467.50

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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.