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Finding the Fourth Proportional to 114.34, 157.10 and 102.64

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Solution

The fourth proportional to 114.34, 157.10 and 102.64 is: 141.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.34 : 157.10 = 102.64 : x
  2. Step 2: Convert to fraction form
    114.34/157.10 = 102.64/x
  3. Step 3: Cross multiply
    114.34x = 157.10 × 102.64
  4. Step 4: Simplify right side
    114.34x = 16,124.74
  5. Step 5: Solve for x
    x = 16,124.74/114.34
  6. Step 6: Final answer
    x = 141.02

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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.