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Finding the Fourth Proportional to 270.16, 372.88 and 165.29

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Solution

The fourth proportional to 270.16, 372.88 and 165.29 is: 228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.16 : 372.88 = 165.29 : x
  2. Step 2: Convert to fraction form
    270.16/372.88 = 165.29/x
  3. Step 3: Cross multiply
    270.16x = 372.88 × 165.29
  4. Step 4: Simplify right side
    270.16x = 61,633.34
  5. Step 5: Solve for x
    x = 61,633.34/270.16
  6. Step 6: Final answer
    x = 228.14

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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.