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Finding the Fourth Proportional to 458.75, 633.36 and 318.82

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Solution

The fourth proportional to 458.75, 633.36 and 318.82 is: 440.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.75 : 633.36 = 318.82 : x
  2. Step 2: Convert to fraction form
    458.75/633.36 = 318.82/x
  3. Step 3: Cross multiply
    458.75x = 633.36 × 318.82
  4. Step 4: Simplify right side
    458.75x = 201,927.84
  5. Step 5: Solve for x
    x = 201,927.84/458.75
  6. Step 6: Final answer
    x = 440.17

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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.