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Finding the Fourth Proportional to 407.24, 561.78 and 251.72

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Solution

The fourth proportional to 407.24, 561.78 and 251.72 is: 347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.24 : 561.78 = 251.72 : x
  2. Step 2: Convert to fraction form
    407.24/561.78 = 251.72/x
  3. Step 3: Cross multiply
    407.24x = 561.78 × 251.72
  4. Step 4: Simplify right side
    407.24x = 141,411.26
  5. Step 5: Solve for x
    x = 141,411.26/407.24
  6. Step 6: Final answer
    x = 347.24

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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.