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Finding the Fourth Proportional to 406.48, 561.22 and 313.06

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Solution

The fourth proportional to 406.48, 561.22 and 313.06 is: 432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.48 : 561.22 = 313.06 : x
  2. Step 2: Convert to fraction form
    406.48/561.22 = 313.06/x
  3. Step 3: Cross multiply
    406.48x = 561.22 × 313.06
  4. Step 4: Simplify right side
    406.48x = 175,695.53
  5. Step 5: Solve for x
    x = 175,695.53/406.48
  6. Step 6: Final answer
    x = 432.24

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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.