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Finding the Fourth Proportional to 407, 561.76 and 251.84

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Solution

The fourth proportional to 407, 561.76 and 251.84 is: 347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    407 : 561.76 = 251.84 : x
  2. Step 2: Convert to fraction form
    407/561.76 = 251.84/x
  3. Step 3: Cross multiply
    407x = 561.76 × 251.84
  4. Step 4: Simplify right side
    407x = 141,473.64
  5. Step 5: Solve for x
    x = 141,473.64/407
  6. Step 6: Final answer
    x = 347.60

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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.