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Finding the Fourth Proportional to 152.38, 229.63 and 137.98

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Solution

The fourth proportional to 152.38, 229.63 and 137.98 is: 207.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.38 : 229.63 = 137.98 : x
  2. Step 2: Convert to fraction form
    152.38/229.63 = 137.98/x
  3. Step 3: Cross multiply
    152.38x = 229.63 × 137.98
  4. Step 4: Simplify right side
    152.38x = 31,684.35
  5. Step 5: Solve for x
    x = 31,684.35/152.38
  6. Step 6: Final answer
    x = 207.93

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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.