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Finding the Fourth Proportional to 153.60, 210.88 and 131.72

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Solution

The fourth proportional to 153.60, 210.88 and 131.72 is: 180.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.60 : 210.88 = 131.72 : x
  2. Step 2: Convert to fraction form
    153.60/210.88 = 131.72/x
  3. Step 3: Cross multiply
    153.60x = 210.88 × 131.72
  4. Step 4: Simplify right side
    153.60x = 27,777.11
  5. Step 5: Solve for x
    x = 27,777.11/153.60
  6. Step 6: Final answer
    x = 180.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.