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Finding the Fourth Proportional to 283.25, 424.32 and 237.05

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Solution

The fourth proportional to 283.25, 424.32 and 237.05 is: 355.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.25 : 424.32 = 237.05 : x
  2. Step 2: Convert to fraction form
    283.25/424.32 = 237.05/x
  3. Step 3: Cross multiply
    283.25x = 424.32 × 237.05
  4. Step 4: Simplify right side
    283.25x = 100,582.93
  5. Step 5: Solve for x
    x = 100,582.93/283.25
  6. Step 6: Final answer
    x = 355.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.