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Finding the Fourth Proportional to 561.09, 841.20 and 355.23

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Solution

The fourth proportional to 561.09, 841.20 and 355.23 is: 532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.09 : 841.20 = 355.23 : x
  2. Step 2: Convert to fraction form
    561.09/841.20 = 355.23/x
  3. Step 3: Cross multiply
    561.09x = 841.20 × 355.23
  4. Step 4: Simplify right side
    561.09x = 298,819.48
  5. Step 5: Solve for x
    x = 298,819.48/561.09
  6. Step 6: Final answer
    x = 532.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.