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Finding the Fourth Proportional to 355.44, 530.19 and 311.70

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Solution

The fourth proportional to 355.44, 530.19 and 311.70 is: 464.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.44 : 530.19 = 311.70 : x
  2. Step 2: Convert to fraction form
    355.44/530.19 = 311.70/x
  3. Step 3: Cross multiply
    355.44x = 530.19 × 311.70
  4. Step 4: Simplify right side
    355.44x = 165,260.22
  5. Step 5: Solve for x
    x = 165,260.22/355.44
  6. Step 6: Final answer
    x = 464.95

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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.