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Finding the Fourth Proportional to 557.80, 836.75 and 146.93

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Solution

The fourth proportional to 557.80, 836.75 and 146.93 is: 220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.80 : 836.75 = 146.93 : x
  2. Step 2: Convert to fraction form
    557.80/836.75 = 146.93/x
  3. Step 3: Cross multiply
    557.80x = 836.75 × 146.93
  4. Step 4: Simplify right side
    557.80x = 122,943.68
  5. Step 5: Solve for x
    x = 122,943.68/557.80
  6. Step 6: Final answer
    x = 220.41

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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.