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Finding the Fourth Proportional to 235.95, 325.78 and 153.11

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Solution

The fourth proportional to 235.95, 325.78 and 153.11 is: 211.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.95 : 325.78 = 153.11 : x
  2. Step 2: Convert to fraction form
    235.95/325.78 = 153.11/x
  3. Step 3: Cross multiply
    235.95x = 325.78 × 153.11
  4. Step 4: Simplify right side
    235.95x = 49,880.18
  5. Step 5: Solve for x
    x = 49,880.18/235.95
  6. Step 6: Final answer
    x = 211.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.