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Finding the Fourth Proportional to 153.95, 229.23 and 151.74

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Solution

The fourth proportional to 153.95, 229.23 and 151.74 is: 225.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.95 : 229.23 = 151.74 : x
  2. Step 2: Convert to fraction form
    153.95/229.23 = 151.74/x
  3. Step 3: Cross multiply
    153.95x = 229.23 × 151.74
  4. Step 4: Simplify right side
    153.95x = 34,783.36
  5. Step 5: Solve for x
    x = 34,783.36/153.95
  6. Step 6: Final answer
    x = 225.95

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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.