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Finding the Fourth Proportional to 459.12, 634.14 and 311.50

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Solution

The fourth proportional to 459.12, 634.14 and 311.50 is: 430.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.12 : 634.14 = 311.50 : x
  2. Step 2: Convert to fraction form
    459.12/634.14 = 311.50/x
  3. Step 3: Cross multiply
    459.12x = 634.14 × 311.50
  4. Step 4: Simplify right side
    459.12x = 197,534.61
  5. Step 5: Solve for x
    x = 197,534.61/459.12
  6. Step 6: Final answer
    x = 430.25

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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.