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Finding the Fourth Proportional to 224.77, 310.01 and 147.13

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Solution

The fourth proportional to 224.77, 310.01 and 147.13 is: 202.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.77 : 310.01 = 147.13 : x
  2. Step 2: Convert to fraction form
    224.77/310.01 = 147.13/x
  3. Step 3: Cross multiply
    224.77x = 310.01 × 147.13
  4. Step 4: Simplify right side
    224.77x = 45,611.04
  5. Step 5: Solve for x
    x = 45,611.04/224.77
  6. Step 6: Final answer
    x = 202.92

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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.