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Finding the Fourth Proportional to 152.96, 211.28 and 128.48

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Solution

The fourth proportional to 152.96, 211.28 and 128.48 is: 177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.96 : 211.28 = 128.48 : x
  2. Step 2: Convert to fraction form
    152.96/211.28 = 128.48/x
  3. Step 3: Cross multiply
    152.96x = 211.28 × 128.48
  4. Step 4: Simplify right side
    152.96x = 27,145.25
  5. Step 5: Solve for x
    x = 27,145.25/152.96
  6. Step 6: Final answer
    x = 177.47

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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.