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Finding the Fourth Proportional to 150.96, 225.16 and 146.40

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Solution

The fourth proportional to 150.96, 225.16 and 146.40 is: 218.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.96 : 225.16 = 146.40 : x
  2. Step 2: Convert to fraction form
    150.96/225.16 = 146.40/x
  3. Step 3: Cross multiply
    150.96x = 225.16 × 146.40
  4. Step 4: Simplify right side
    150.96x = 32,963.42
  5. Step 5: Solve for x
    x = 32,963.42/150.96
  6. Step 6: Final answer
    x = 218.36

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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.