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Finding the Fourth Proportional to 153.86, 229.38 and 139.28

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Solution

The fourth proportional to 153.86, 229.38 and 139.28 is: 207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.86 : 229.38 = 139.28 : x
  2. Step 2: Convert to fraction form
    153.86/229.38 = 139.28/x
  3. Step 3: Cross multiply
    153.86x = 229.38 × 139.28
  4. Step 4: Simplify right side
    153.86x = 31,947.35
  5. Step 5: Solve for x
    x = 31,947.35/153.86
  6. Step 6: Final answer
    x = 207.64

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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.