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Finding the Fourth Proportional to 362.84, 542.97 and 253.94

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Solution

The fourth proportional to 362.84, 542.97 and 253.94 is: 380.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.84 : 542.97 = 253.94 : x
  2. Step 2: Convert to fraction form
    362.84/542.97 = 253.94/x
  3. Step 3: Cross multiply
    362.84x = 542.97 × 253.94
  4. Step 4: Simplify right side
    362.84x = 137,881.80
  5. Step 5: Solve for x
    x = 137,881.80/362.84
  6. Step 6: Final answer
    x = 380.01

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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.