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Finding the Fourth Proportional to 225.94, 312.12 and 152.22

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Solution

The fourth proportional to 225.94, 312.12 and 152.22 is: 210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.94 : 312.12 = 152.22 : x
  2. Step 2: Convert to fraction form
    225.94/312.12 = 152.22/x
  3. Step 3: Cross multiply
    225.94x = 312.12 × 152.22
  4. Step 4: Simplify right side
    225.94x = 47,510.91
  5. Step 5: Solve for x
    x = 47,510.91/225.94
  6. Step 6: Final answer
    x = 210.28

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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.