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Finding the Fourth Proportional to 467.64, 644.68 and 336.40

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Solution

The fourth proportional to 467.64, 644.68 and 336.40 is: 463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.64 : 644.68 = 336.40 : x
  2. Step 2: Convert to fraction form
    467.64/644.68 = 336.40/x
  3. Step 3: Cross multiply
    467.64x = 644.68 × 336.40
  4. Step 4: Simplify right side
    467.64x = 216,870.35
  5. Step 5: Solve for x
    x = 216,870.35/467.64
  6. Step 6: Final answer
    x = 463.75

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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.