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Finding the Fourth Proportional to 480.64, 663.15 and 312.64

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Solution

The fourth proportional to 480.64, 663.15 and 312.64 is: 431.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.64 : 663.15 = 312.64 : x
  2. Step 2: Convert to fraction form
    480.64/663.15 = 312.64/x
  3. Step 3: Cross multiply
    480.64x = 663.15 × 312.64
  4. Step 4: Simplify right side
    480.64x = 207,327.22
  5. Step 5: Solve for x
    x = 207,327.22/480.64
  6. Step 6: Final answer
    x = 431.36

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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.