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Finding the Fourth Proportional to 311.95, 430.50 and 187.68

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Solution

The fourth proportional to 311.95, 430.50 and 187.68 is: 259.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.95 : 430.50 = 187.68 : x
  2. Step 2: Convert to fraction form
    311.95/430.50 = 187.68/x
  3. Step 3: Cross multiply
    311.95x = 430.50 × 187.68
  4. Step 4: Simplify right side
    311.95x = 80,795.30
  5. Step 5: Solve for x
    x = 80,795.30/311.95
  6. Step 6: Final answer
    x = 259.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.