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Finding the Fourth Proportional to 201.49, 278.46 and 152.35

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Solution

The fourth proportional to 201.49, 278.46 and 152.35 is: 210.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.49 : 278.46 = 152.35 : x
  2. Step 2: Convert to fraction form
    201.49/278.46 = 152.35/x
  3. Step 3: Cross multiply
    201.49x = 278.46 × 152.35
  4. Step 4: Simplify right side
    201.49x = 42,423.38
  5. Step 5: Solve for x
    x = 42,423.38/201.49
  6. Step 6: Final answer
    x = 210.55

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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.