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Finding the Fourth Proportional to 253.64, 378.10 and 242.84

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Solution

The fourth proportional to 253.64, 378.10 and 242.84 is: 362.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.64 : 378.10 = 242.84 : x
  2. Step 2: Convert to fraction form
    253.64/378.10 = 242.84/x
  3. Step 3: Cross multiply
    253.64x = 378.10 × 242.84
  4. Step 4: Simplify right side
    253.64x = 91,817.80
  5. Step 5: Solve for x
    x = 91,817.80/253.64
  6. Step 6: Final answer
    x = 362.00

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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.