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Finding the Fourth Proportional to 406.94, 561.88 and 313.52

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Solution

The fourth proportional to 406.94, 561.88 and 313.52 is: 432.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.94 : 561.88 = 313.52 : x
  2. Step 2: Convert to fraction form
    406.94/561.88 = 313.52/x
  3. Step 3: Cross multiply
    406.94x = 561.88 × 313.52
  4. Step 4: Simplify right side
    406.94x = 176,160.62
  5. Step 5: Solve for x
    x = 176,160.62/406.94
  6. Step 6: Final answer
    x = 432.89

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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.