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Finding the Fourth Proportional to 150.72, 208.04 and 88.57

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Solution

The fourth proportional to 150.72, 208.04 and 88.57 is: 122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.72 : 208.04 = 88.57 : x
  2. Step 2: Convert to fraction form
    150.72/208.04 = 88.57/x
  3. Step 3: Cross multiply
    150.72x = 208.04 × 88.57
  4. Step 4: Simplify right side
    150.72x = 18,426.10
  5. Step 5: Solve for x
    x = 18,426.10/150.72
  6. Step 6: Final answer
    x = 122.25

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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.