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Finding the Fourth Proportional to 557.66, 836.63 and 192.45

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Solution

The fourth proportional to 557.66, 836.63 and 192.45 is: 288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.66 : 836.63 = 192.45 : x
  2. Step 2: Convert to fraction form
    557.66/836.63 = 192.45/x
  3. Step 3: Cross multiply
    557.66x = 836.63 × 192.45
  4. Step 4: Simplify right side
    557.66x = 161,009.44
  5. Step 5: Solve for x
    x = 161,009.44/557.66
  6. Step 6: Final answer
    x = 288.72

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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.