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Finding the Fourth Proportional to 150.30, 225.14 and 78.20

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Solution

The fourth proportional to 150.30, 225.14 and 78.20 is: 117.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.30 : 225.14 = 78.20 : x
  2. Step 2: Convert to fraction form
    150.30/225.14 = 78.20/x
  3. Step 3: Cross multiply
    150.30x = 225.14 × 78.20
  4. Step 4: Simplify right side
    150.30x = 17,605.95
  5. Step 5: Solve for x
    x = 17,605.95/150.30
  6. Step 6: Final answer
    x = 117.14

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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.