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Finding the Fourth Proportional to 152.06, 226.51 and 143.78

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Solution

The fourth proportional to 152.06, 226.51 and 143.78 is: 214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.06 : 226.51 = 143.78 : x
  2. Step 2: Convert to fraction form
    152.06/226.51 = 143.78/x
  3. Step 3: Cross multiply
    152.06x = 226.51 × 143.78
  4. Step 4: Simplify right side
    152.06x = 32,567.61
  5. Step 5: Solve for x
    x = 32,567.61/152.06
  6. Step 6: Final answer
    x = 214.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.