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Finding the Fourth Proportional to 210.01, 316.13 and 149.56

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Solution

The fourth proportional to 210.01, 316.13 and 149.56 is: 225.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.01 : 316.13 = 149.56 : x
  2. Step 2: Convert to fraction form
    210.01/316.13 = 149.56/x
  3. Step 3: Cross multiply
    210.01x = 316.13 × 149.56
  4. Step 4: Simplify right side
    210.01x = 47,278.86
  5. Step 5: Solve for x
    x = 47,278.86/210.01
  6. Step 6: Final answer
    x = 225.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.