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Finding the Fourth Proportional to 152.90, 228.17 and 139.94

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Solution

The fourth proportional to 152.90, 228.17 and 139.94 is: 208.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.90 : 228.17 = 139.94 : x
  2. Step 2: Convert to fraction form
    152.90/228.17 = 139.94/x
  3. Step 3: Cross multiply
    152.90x = 228.17 × 139.94
  4. Step 4: Simplify right side
    152.90x = 31,930.17
  5. Step 5: Solve for x
    x = 31,930.17/152.90
  6. Step 6: Final answer
    x = 208.83

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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.