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Finding the Fourth Proportional to 491.42, 678.20 and 325.35

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Solution

The fourth proportional to 491.42, 678.20 and 325.35 is: 449.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.42 : 678.20 = 325.35 : x
  2. Step 2: Convert to fraction form
    491.42/678.20 = 325.35/x
  3. Step 3: Cross multiply
    491.42x = 678.20 × 325.35
  4. Step 4: Simplify right side
    491.42x = 220,653.18
  5. Step 5: Solve for x
    x = 220,653.18/491.42
  6. Step 6: Final answer
    x = 449.01

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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.