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Finding the Fourth Proportional to 283.51, 424.99 and 202.38

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Solution

The fourth proportional to 283.51, 424.99 and 202.38 is: 303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.51 : 424.99 = 202.38 : x
  2. Step 2: Convert to fraction form
    283.51/424.99 = 202.38/x
  3. Step 3: Cross multiply
    283.51x = 424.99 × 202.38
  4. Step 4: Simplify right side
    283.51x = 86,009.48
  5. Step 5: Solve for x
    x = 86,009.48/283.51
  6. Step 6: Final answer
    x = 303.37

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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.