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Finding the Fourth Proportional to 152.25, 229.65 and 147.39

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Solution

The fourth proportional to 152.25, 229.65 and 147.39 is: 222.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.25 : 229.65 = 147.39 : x
  2. Step 2: Convert to fraction form
    152.25/229.65 = 147.39/x
  3. Step 3: Cross multiply
    152.25x = 229.65 × 147.39
  4. Step 4: Simplify right side
    152.25x = 33,848.11
  5. Step 5: Solve for x
    x = 33,848.11/152.25
  6. Step 6: Final answer
    x = 222.32

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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.