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Finding the Fourth Proportional to 332.78, 459.32 and 266.13

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Solution

The fourth proportional to 332.78, 459.32 and 266.13 is: 367.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.78 : 459.32 = 266.13 : x
  2. Step 2: Convert to fraction form
    332.78/459.32 = 266.13/x
  3. Step 3: Cross multiply
    332.78x = 459.32 × 266.13
  4. Step 4: Simplify right side
    332.78x = 122,237.50
  5. Step 5: Solve for x
    x = 122,237.50/332.78
  6. Step 6: Final answer
    x = 367.33

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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.