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Finding the Fourth Proportional to 328.84, 493.20 and 85.36

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Solution

The fourth proportional to 328.84, 493.20 and 85.36 is: 128.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.84 : 493.20 = 85.36 : x
  2. Step 2: Convert to fraction form
    328.84/493.20 = 85.36/x
  3. Step 3: Cross multiply
    328.84x = 493.20 × 85.36
  4. Step 4: Simplify right side
    328.84x = 42,099.55
  5. Step 5: Solve for x
    x = 42,099.55/328.84
  6. Step 6: Final answer
    x = 128.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.