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Finding the Fourth Proportional to 157.55, 216.14 and 135.68

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Solution

The fourth proportional to 157.55, 216.14 and 135.68 is: 186.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.55 : 216.14 = 135.68 : x
  2. Step 2: Convert to fraction form
    157.55/216.14 = 135.68/x
  3. Step 3: Cross multiply
    157.55x = 216.14 × 135.68
  4. Step 4: Simplify right side
    157.55x = 29,324.12
  5. Step 5: Solve for x
    x = 29,324.12/157.55
  6. Step 6: Final answer
    x = 186.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.