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Finding the Fourth Proportional to 114.36, 170.70 and 102.18

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Solution

The fourth proportional to 114.36, 170.70 and 102.18 is: 152.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.36 : 170.70 = 102.18 : x
  2. Step 2: Convert to fraction form
    114.36/170.70 = 102.18/x
  3. Step 3: Cross multiply
    114.36x = 170.70 × 102.18
  4. Step 4: Simplify right side
    114.36x = 17,442.13
  5. Step 5: Solve for x
    x = 17,442.13/114.36
  6. Step 6: Final answer
    x = 152.52

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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.