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Finding the Fourth Proportional to 114.53, 157.95 and 102.24

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Solution

The fourth proportional to 114.53, 157.95 and 102.24 is: 141.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.53 : 157.95 = 102.24 : x
  2. Step 2: Convert to fraction form
    114.53/157.95 = 102.24/x
  3. Step 3: Cross multiply
    114.53x = 157.95 × 102.24
  4. Step 4: Simplify right side
    114.53x = 16,148.81
  5. Step 5: Solve for x
    x = 16,148.81/114.53
  6. Step 6: Final answer
    x = 141.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.