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Finding the Fourth Proportional to 270.22, 372.95 and 176.93

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Solution

The fourth proportional to 270.22, 372.95 and 176.93 is: 244.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.22 : 372.95 = 176.93 : x
  2. Step 2: Convert to fraction form
    270.22/372.95 = 176.93/x
  3. Step 3: Cross multiply
    270.22x = 372.95 × 176.93
  4. Step 4: Simplify right side
    270.22x = 65,984.74
  5. Step 5: Solve for x
    x = 65,984.74/270.22
  6. Step 6: Final answer
    x = 244.19

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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.