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Finding the Fourth Proportional to 152.88, 210.51 and 128.22

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Solution

The fourth proportional to 152.88, 210.51 and 128.22 is: 176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.88 : 210.51 = 128.22 : x
  2. Step 2: Convert to fraction form
    152.88/210.51 = 128.22/x
  3. Step 3: Cross multiply
    152.88x = 210.51 × 128.22
  4. Step 4: Simplify right side
    152.88x = 26,991.59
  5. Step 5: Solve for x
    x = 26,991.59/152.88
  6. Step 6: Final answer
    x = 176.55

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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.