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Finding the Fourth Proportional to 253.10, 379.91 and 157.14

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Solution

The fourth proportional to 253.10, 379.91 and 157.14 is: 235.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.10 : 379.91 = 157.14 : x
  2. Step 2: Convert to fraction form
    253.10/379.91 = 157.14/x
  3. Step 3: Cross multiply
    253.10x = 379.91 × 157.14
  4. Step 4: Simplify right side
    253.10x = 59,699.06
  5. Step 5: Solve for x
    x = 59,699.06/253.10
  6. Step 6: Final answer
    x = 235.87

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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.