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Finding the Fourth Proportional to 328.15, 452.67 and 266.05

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Solution

The fourth proportional to 328.15, 452.67 and 266.05 is: 367.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.15 : 452.67 = 266.05 : x
  2. Step 2: Convert to fraction form
    328.15/452.67 = 266.05/x
  3. Step 3: Cross multiply
    328.15x = 452.67 × 266.05
  4. Step 4: Simplify right side
    328.15x = 120,430.59
  5. Step 5: Solve for x
    x = 120,430.59/328.15
  6. Step 6: Final answer
    x = 367.00

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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.