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Finding the Fourth Proportional to 422.81, 583.54 and 248.16

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Solution

The fourth proportional to 422.81, 583.54 and 248.16 is: 342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.81 : 583.54 = 248.16 : x
  2. Step 2: Convert to fraction form
    422.81/583.54 = 248.16/x
  3. Step 3: Cross multiply
    422.81x = 583.54 × 248.16
  4. Step 4: Simplify right side
    422.81x = 144,808.48
  5. Step 5: Solve for x
    x = 144,808.48/422.81
  6. Step 6: Final answer
    x = 342.49

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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.