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Finding the Fourth Proportional to 467.64, 645.48 and 320.40

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Solution

The fourth proportional to 467.64, 645.48 and 320.40 is: 442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.64 : 645.48 = 320.40 : x
  2. Step 2: Convert to fraction form
    467.64/645.48 = 320.40/x
  3. Step 3: Cross multiply
    467.64x = 645.48 × 320.40
  4. Step 4: Simplify right side
    467.64x = 206,811.79
  5. Step 5: Solve for x
    x = 206,811.79/467.64
  6. Step 6: Final answer
    x = 442.25

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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.