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Finding the Fourth Proportional to 561.42, 841.50 and 209.78

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Solution

The fourth proportional to 561.42, 841.50 and 209.78 is: 314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.42 : 841.50 = 209.78 : x
  2. Step 2: Convert to fraction form
    561.42/841.50 = 209.78/x
  3. Step 3: Cross multiply
    561.42x = 841.50 × 209.78
  4. Step 4: Simplify right side
    561.42x = 176,529.87
  5. Step 5: Solve for x
    x = 176,529.87/561.42
  6. Step 6: Final answer
    x = 314.43

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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.