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Finding the Fourth Proportional to 253.41, 380 and 99.24

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Solution

The fourth proportional to 253.41, 380 and 99.24 is: 148.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.41 : 380 = 99.24 : x
  2. Step 2: Convert to fraction form
    253.41/380 = 99.24/x
  3. Step 3: Cross multiply
    253.41x = 380 × 99.24
  4. Step 4: Simplify right side
    253.41x = 37,711.20
  5. Step 5: Solve for x
    x = 37,711.20/253.41
  6. Step 6: Final answer
    x = 148.81

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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.