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Finding the Fourth Proportional to 328.42, 453.08 and 322.24

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Solution

The fourth proportional to 328.42, 453.08 and 322.24 is: 444.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.42 : 453.08 = 322.24 : x
  2. Step 2: Convert to fraction form
    328.42/453.08 = 322.24/x
  3. Step 3: Cross multiply
    328.42x = 453.08 × 322.24
  4. Step 4: Simplify right side
    328.42x = 146,000.50
  5. Step 5: Solve for x
    x = 146,000.50/328.42
  6. Step 6: Final answer
    x = 444.55

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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.