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Finding the Fourth Proportional to 332.46, 458.76 and 206.40

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Solution

The fourth proportional to 332.46, 458.76 and 206.40 is: 284.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.46 : 458.76 = 206.40 : x
  2. Step 2: Convert to fraction form
    332.46/458.76 = 206.40/x
  3. Step 3: Cross multiply
    332.46x = 458.76 × 206.40
  4. Step 4: Simplify right side
    332.46x = 94,688.06
  5. Step 5: Solve for x
    x = 94,688.06/332.46
  6. Step 6: Final answer
    x = 284.81

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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.