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Finding the Fourth Proportional to 407.43, 561.60 and 283.23

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Solution

The fourth proportional to 407.43, 561.60 and 283.23 is: 390.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.43 : 561.60 = 283.23 : x
  2. Step 2: Convert to fraction form
    407.43/561.60 = 283.23/x
  3. Step 3: Cross multiply
    407.43x = 561.60 × 283.23
  4. Step 4: Simplify right side
    407.43x = 159,061.97
  5. Step 5: Solve for x
    x = 159,061.97/407.43
  6. Step 6: Final answer
    x = 390.40

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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.