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Finding the Fourth Proportional to 251.99, 347.72 and 153.77

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Solution

The fourth proportional to 251.99, 347.72 and 153.77 is: 212.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.99 : 347.72 = 153.77 : x
  2. Step 2: Convert to fraction form
    251.99/347.72 = 153.77/x
  3. Step 3: Cross multiply
    251.99x = 347.72 × 153.77
  4. Step 4: Simplify right side
    251.99x = 53,468.90
  5. Step 5: Solve for x
    x = 53,468.90/251.99
  6. Step 6: Final answer
    x = 212.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.