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Finding the Fourth Proportional to 201.41, 278.04 and 152.51

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Solution

The fourth proportional to 201.41, 278.04 and 152.51 is: 210.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.41 : 278.04 = 152.51 : x
  2. Step 2: Convert to fraction form
    201.41/278.04 = 152.51/x
  3. Step 3: Cross multiply
    201.41x = 278.04 × 152.51
  4. Step 4: Simplify right side
    201.41x = 42,402.49
  5. Step 5: Solve for x
    x = 42,402.49/201.41
  6. Step 6: Final answer
    x = 210.53

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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.