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Finding the Fourth Proportional to 541.84, 812.90 and 157.09

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Solution

The fourth proportional to 541.84, 812.90 and 157.09 is: 235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.84 : 812.90 = 157.09 : x
  2. Step 2: Convert to fraction form
    541.84/812.90 = 157.09/x
  3. Step 3: Cross multiply
    541.84x = 812.90 × 157.09
  4. Step 4: Simplify right side
    541.84x = 127,698.46
  5. Step 5: Solve for x
    x = 127,698.46/541.84
  6. Step 6: Final answer
    x = 235.68

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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.