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Finding the Fourth Proportional to 251.98, 347.74 and 153.72

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Solution

The fourth proportional to 251.98, 347.74 and 153.72 is: 212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.98 : 347.74 = 153.72 : x
  2. Step 2: Convert to fraction form
    251.98/347.74 = 153.72/x
  3. Step 3: Cross multiply
    251.98x = 347.74 × 153.72
  4. Step 4: Simplify right side
    251.98x = 53,454.11
  5. Step 5: Solve for x
    x = 53,454.11/251.98
  6. Step 6: Final answer
    x = 212.14

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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.