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Finding the Fourth Proportional to 152.19, 229.29 and 138.31

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Solution

The fourth proportional to 152.19, 229.29 and 138.31 is: 208.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.19 : 229.29 = 138.31 : x
  2. Step 2: Convert to fraction form
    152.19/229.29 = 138.31/x
  3. Step 3: Cross multiply
    152.19x = 229.29 × 138.31
  4. Step 4: Simplify right side
    152.19x = 31,713.10
  5. Step 5: Solve for x
    x = 31,713.10/152.19
  6. Step 6: Final answer
    x = 208.38

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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.