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Finding the Fourth Proportional to 162.10, 240.98 and 157.24

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Solution

The fourth proportional to 162.10, 240.98 and 157.24 is: 233.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.10 : 240.98 = 157.24 : x
  2. Step 2: Convert to fraction form
    162.10/240.98 = 157.24/x
  3. Step 3: Cross multiply
    162.10x = 240.98 × 157.24
  4. Step 4: Simplify right side
    162.10x = 37,891.70
  5. Step 5: Solve for x
    x = 37,891.70/162.10
  6. Step 6: Final answer
    x = 233.76

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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.