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Finding the Fourth Proportional to 224.93, 310.41 and 125.35

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Solution

The fourth proportional to 224.93, 310.41 and 125.35 is: 172.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.93 : 310.41 = 125.35 : x
  2. Step 2: Convert to fraction form
    224.93/310.41 = 125.35/x
  3. Step 3: Cross multiply
    224.93x = 310.41 × 125.35
  4. Step 4: Simplify right side
    224.93x = 38,909.89
  5. Step 5: Solve for x
    x = 38,909.89/224.93
  6. Step 6: Final answer
    x = 172.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.