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Finding the Fourth Proportional to 225.40, 310.62 and 210.52

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Solution

The fourth proportional to 225.40, 310.62 and 210.52 is: 290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.40 : 310.62 = 210.52 : x
  2. Step 2: Convert to fraction form
    225.40/310.62 = 210.52/x
  3. Step 3: Cross multiply
    225.40x = 310.62 × 210.52
  4. Step 4: Simplify right side
    225.40x = 65,391.72
  5. Step 5: Solve for x
    x = 65,391.72/225.40
  6. Step 6: Final answer
    x = 290.11

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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.