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Finding the Fourth Proportional to 150.24, 225.45 and 78.15

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Solution

The fourth proportional to 150.24, 225.45 and 78.15 is: 117.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.24 : 225.45 = 78.15 : x
  2. Step 2: Convert to fraction form
    150.24/225.45 = 78.15/x
  3. Step 3: Cross multiply
    150.24x = 225.45 × 78.15
  4. Step 4: Simplify right side
    150.24x = 17,618.92
  5. Step 5: Solve for x
    x = 17,618.92/150.24
  6. Step 6: Final answer
    x = 117.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.