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Finding the Fourth Proportional to 407.30, 561.67 and 313.81

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Solution

The fourth proportional to 407.30, 561.67 and 313.81 is: 432.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.30 : 561.67 = 313.81 : x
  2. Step 2: Convert to fraction form
    407.30/561.67 = 313.81/x
  3. Step 3: Cross multiply
    407.30x = 561.67 × 313.81
  4. Step 4: Simplify right side
    407.30x = 176,255.47
  5. Step 5: Solve for x
    x = 176,255.47/407.30
  6. Step 6: Final answer
    x = 432.75

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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.