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Finding the Fourth Proportional to 459.84, 633.86 and 312.22

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Solution

The fourth proportional to 459.84, 633.86 and 312.22 is: 430.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.84 : 633.86 = 312.22 : x
  2. Step 2: Convert to fraction form
    459.84/633.86 = 312.22/x
  3. Step 3: Cross multiply
    459.84x = 633.86 × 312.22
  4. Step 4: Simplify right side
    459.84x = 197,900.60
  5. Step 5: Solve for x
    x = 197,900.60/459.84
  6. Step 6: Final answer
    x = 430.37

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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.