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Finding the Fourth Proportional to 151.64, 210.38 and 143.72

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Solution

The fourth proportional to 151.64, 210.38 and 143.72 is: 199.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.64 : 210.38 = 143.72 : x
  2. Step 2: Convert to fraction form
    151.64/210.38 = 143.72/x
  3. Step 3: Cross multiply
    151.64x = 210.38 × 143.72
  4. Step 4: Simplify right side
    151.64x = 30,235.81
  5. Step 5: Solve for x
    x = 30,235.81/151.64
  6. Step 6: Final answer
    x = 199.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.