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Finding the Fourth Proportional to 154.80, 233.30 and 147.48

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Solution

The fourth proportional to 154.80, 233.30 and 147.48 is: 222.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.80 : 233.30 = 147.48 : x
  2. Step 2: Convert to fraction form
    154.80/233.30 = 147.48/x
  3. Step 3: Cross multiply
    154.80x = 233.30 × 147.48
  4. Step 4: Simplify right side
    154.80x = 34,406.35
  5. Step 5: Solve for x
    x = 34,406.35/154.80
  6. Step 6: Final answer
    x = 222.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.