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Finding the Fourth Proportional to 328.40, 452.64 and 266

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Solution

The fourth proportional to 328.40, 452.64 and 266 is: 366.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.40 : 452.64 = 266 : x
  2. Step 2: Convert to fraction form
    328.40/452.64 = 266/x
  3. Step 3: Cross multiply
    328.40x = 452.64 × 266
  4. Step 4: Simplify right side
    328.40x = 120,402.24
  5. Step 5: Solve for x
    x = 120,402.24/328.40
  6. Step 6: Final answer
    x = 366.63

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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.