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Finding the Fourth Proportional to 332.48, 456.40 and 286.40

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Solution

The fourth proportional to 332.48, 456.40 and 286.40 is: 393.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.48 : 456.40 = 286.40 : x
  2. Step 2: Convert to fraction form
    332.48/456.40 = 286.40/x
  3. Step 3: Cross multiply
    332.48x = 456.40 × 286.40
  4. Step 4: Simplify right side
    332.48x = 130,712.96
  5. Step 5: Solve for x
    x = 130,712.96/332.48
  6. Step 6: Final answer
    x = 393.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.