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Finding the Fourth Proportional to 332.40, 458.64 and 280.14

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Solution

The fourth proportional to 332.40, 458.64 and 280.14 is: 386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.40 : 458.64 = 280.14 : x
  2. Step 2: Convert to fraction form
    332.40/458.64 = 280.14/x
  3. Step 3: Cross multiply
    332.40x = 458.64 × 280.14
  4. Step 4: Simplify right side
    332.40x = 128,483.41
  5. Step 5: Solve for x
    x = 128,483.41/332.40
  6. Step 6: Final answer
    x = 386.53

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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.