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Finding the Fourth Proportional to 468.09, 646.07 and 312.75

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Solution

The fourth proportional to 468.09, 646.07 and 312.75 is: 431.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.09 : 646.07 = 312.75 : x
  2. Step 2: Convert to fraction form
    468.09/646.07 = 312.75/x
  3. Step 3: Cross multiply
    468.09x = 646.07 × 312.75
  4. Step 4: Simplify right side
    468.09x = 202,056.83
  5. Step 5: Solve for x
    x = 202,056.83/468.09
  6. Step 6: Final answer
    x = 431.66

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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.