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Finding the Fourth Proportional to 332.16, 495.84 and 286.80

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Solution

The fourth proportional to 332.16, 495.84 and 286.80 is: 428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.16 : 495.84 = 286.80 : x
  2. Step 2: Convert to fraction form
    332.16/495.84 = 286.80/x
  3. Step 3: Cross multiply
    332.16x = 495.84 × 286.80
  4. Step 4: Simplify right side
    332.16x = 142,206.91
  5. Step 5: Solve for x
    x = 142,206.91/332.16
  6. Step 6: Final answer
    x = 428.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.