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Finding the Fourth Proportional to 153.80, 228.74 and 151.90

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Solution

The fourth proportional to 153.80, 228.74 and 151.90 is: 225.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.80 : 228.74 = 151.90 : x
  2. Step 2: Convert to fraction form
    153.80/228.74 = 151.90/x
  3. Step 3: Cross multiply
    153.80x = 228.74 × 151.90
  4. Step 4: Simplify right side
    153.80x = 34,745.61
  5. Step 5: Solve for x
    x = 34,745.61/153.80
  6. Step 6: Final answer
    x = 225.91

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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.