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Finding the Fourth Proportional to 328.61, 450.54 and 322.76

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Solution

The fourth proportional to 328.61, 450.54 and 322.76 is: 442.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.61 : 450.54 = 322.76 : x
  2. Step 2: Convert to fraction form
    328.61/450.54 = 322.76/x
  3. Step 3: Cross multiply
    328.61x = 450.54 × 322.76
  4. Step 4: Simplify right side
    328.61x = 145,416.29
  5. Step 5: Solve for x
    x = 145,416.29/328.61
  6. Step 6: Final answer
    x = 442.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.