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Finding the Fourth Proportional to 254.84, 380.18 and 253.01

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Solution

The fourth proportional to 254.84, 380.18 and 253.01 is: 377.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.84 : 380.18 = 253.01 : x
  2. Step 2: Convert to fraction form
    254.84/380.18 = 253.01/x
  3. Step 3: Cross multiply
    254.84x = 380.18 × 253.01
  4. Step 4: Simplify right side
    254.84x = 96,186.18
  5. Step 5: Solve for x
    x = 96,186.18/254.84
  6. Step 6: Final answer
    x = 377.44

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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.