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Finding the Fourth Proportional to 225.02, 336.14 and 147.35

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Solution

The fourth proportional to 225.02, 336.14 and 147.35 is: 220.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.02 : 336.14 = 147.35 : x
  2. Step 2: Convert to fraction form
    225.02/336.14 = 147.35/x
  3. Step 3: Cross multiply
    225.02x = 336.14 × 147.35
  4. Step 4: Simplify right side
    225.02x = 49,527.81
  5. Step 5: Solve for x
    x = 49,527.81/225.02
  6. Step 6: Final answer
    x = 220.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.