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Finding the Fourth Proportional to 210.41, 316.07 and 149.93

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Solution

The fourth proportional to 210.41, 316.07 and 149.93 is: 225.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.41 : 316.07 = 149.93 : x
  2. Step 2: Convert to fraction form
    210.41/316.07 = 149.93/x
  3. Step 3: Cross multiply
    210.41x = 316.07 × 149.93
  4. Step 4: Simplify right side
    210.41x = 47,386.05
  5. Step 5: Solve for x
    x = 47,386.05/210.41
  6. Step 6: Final answer
    x = 225.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.