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Finding the Fourth Proportional to 253.98, 381.13 and 145.98

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Solution

The fourth proportional to 253.98, 381.13 and 145.98 is: 219.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.98 : 381.13 = 145.98 : x
  2. Step 2: Convert to fraction form
    253.98/381.13 = 145.98/x
  3. Step 3: Cross multiply
    253.98x = 381.13 × 145.98
  4. Step 4: Simplify right side
    253.98x = 55,637.36
  5. Step 5: Solve for x
    x = 55,637.36/253.98
  6. Step 6: Final answer
    x = 219.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.