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Finding the Fourth Proportional to 332.50, 459.06 and 227.76

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Solution

The fourth proportional to 332.50, 459.06 and 227.76 is: 314.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.50 : 459.06 = 227.76 : x
  2. Step 2: Convert to fraction form
    332.50/459.06 = 227.76/x
  3. Step 3: Cross multiply
    332.50x = 459.06 × 227.76
  4. Step 4: Simplify right side
    332.50x = 104,554.37
  5. Step 5: Solve for x
    x = 104,554.37/332.50
  6. Step 6: Final answer
    x = 314.45

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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.