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Finding the Fourth Proportional to 152.02, 209.75 and 102.81

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Solution

The fourth proportional to 152.02, 209.75 and 102.81 is: 141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.02 : 209.75 = 102.81 : x
  2. Step 2: Convert to fraction form
    152.02/209.75 = 102.81/x
  3. Step 3: Cross multiply
    152.02x = 209.75 × 102.81
  4. Step 4: Simplify right side
    152.02x = 21,564.40
  5. Step 5: Solve for x
    x = 21,564.40/152.02
  6. Step 6: Final answer
    x = 141.85

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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.