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Finding the Fourth Proportional to 153.60, 211.44 and 145.20

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Solution

The fourth proportional to 153.60, 211.44 and 145.20 is: 199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.60 : 211.44 = 145.20 : x
  2. Step 2: Convert to fraction form
    153.60/211.44 = 145.20/x
  3. Step 3: Cross multiply
    153.60x = 211.44 × 145.20
  4. Step 4: Simplify right side
    153.60x = 30,701.09
  5. Step 5: Solve for x
    x = 30,701.09/153.60
  6. Step 6: Final answer
    x = 199.88

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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.