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Finding the Fourth Proportional to 153.95, 212.32 and 135.49

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Solution

The fourth proportional to 153.95, 212.32 and 135.49 is: 186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.95 : 212.32 = 135.49 : x
  2. Step 2: Convert to fraction form
    153.95/212.32 = 135.49/x
  3. Step 3: Cross multiply
    153.95x = 212.32 × 135.49
  4. Step 4: Simplify right side
    153.95x = 28,767.24
  5. Step 5: Solve for x
    x = 28,767.24/153.95
  6. Step 6: Final answer
    x = 186.86

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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.