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Finding the Fourth Proportional to 557.50, 836.13 and 192.21

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Solution

The fourth proportional to 557.50, 836.13 and 192.21 is: 288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.50 : 836.13 = 192.21 : x
  2. Step 2: Convert to fraction form
    557.50/836.13 = 192.21/x
  3. Step 3: Cross multiply
    557.50x = 836.13 × 192.21
  4. Step 4: Simplify right side
    557.50x = 160,709.05
  5. Step 5: Solve for x
    x = 160,709.05/557.50
  6. Step 6: Final answer
    x = 288.27

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1.5x scale

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.