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Finding the Fourth Proportional to 162.51, 242.09 and 157.72

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Solution

The fourth proportional to 162.51, 242.09 and 157.72 is: 234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.51 : 242.09 = 157.72 : x
  2. Step 2: Convert to fraction form
    162.51/242.09 = 157.72/x
  3. Step 3: Cross multiply
    162.51x = 242.09 × 157.72
  4. Step 4: Simplify right side
    162.51x = 38,182.77
  5. Step 5: Solve for x
    x = 38,182.77/162.51
  6. Step 6: Final answer
    x = 234.96

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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.