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Finding the Fourth Proportional to 225.32, 310.93 and 151.63

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Solution

The fourth proportional to 225.32, 310.93 and 151.63 is: 209.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.32 : 310.93 = 151.63 : x
  2. Step 2: Convert to fraction form
    225.32/310.93 = 151.63/x
  3. Step 3: Cross multiply
    225.32x = 310.93 × 151.63
  4. Step 4: Simplify right side
    225.32x = 47,144.76
  5. Step 5: Solve for x
    x = 47,144.76/225.32
  6. Step 6: Final answer
    x = 209.23

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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.