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Finding the Fourth Proportional to 153.44, 228.92 and 139.48

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Solution

The fourth proportional to 153.44, 228.92 and 139.48 is: 208.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.44 : 228.92 = 139.48 : x
  2. Step 2: Convert to fraction form
    153.44/228.92 = 139.48/x
  3. Step 3: Cross multiply
    153.44x = 228.92 × 139.48
  4. Step 4: Simplify right side
    153.44x = 31,929.76
  5. Step 5: Solve for x
    x = 31,929.76/153.44
  6. Step 6: Final answer
    x = 208.09

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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.