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Finding the Fourth Proportional to 328.06, 493.86 and 283.42

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Solution

The fourth proportional to 328.06, 493.86 and 283.42 is: 426.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.06 : 493.86 = 283.42 : x
  2. Step 2: Convert to fraction form
    328.06/493.86 = 283.42/x
  3. Step 3: Cross multiply
    328.06x = 493.86 × 283.42
  4. Step 4: Simplify right side
    328.06x = 139,969.80
  5. Step 5: Solve for x
    x = 139,969.80/328.06
  6. Step 6: Final answer
    x = 426.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.