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Finding the Fourth Proportional to 157.81, 235.67 and 156.12

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Solution

The fourth proportional to 157.81, 235.67 and 156.12 is: 233.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.81 : 235.67 = 156.12 : x
  2. Step 2: Convert to fraction form
    157.81/235.67 = 156.12/x
  3. Step 3: Cross multiply
    157.81x = 235.67 × 156.12
  4. Step 4: Simplify right side
    157.81x = 36,790.84
  5. Step 5: Solve for x
    x = 36,790.84/157.81
  6. Step 6: Final answer
    x = 233.13

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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.