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Finding the Fourth Proportional to 270.88, 373.54 and 165.98

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Solution

The fourth proportional to 270.88, 373.54 and 165.98 is: 228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.88 : 373.54 = 165.98 : x
  2. Step 2: Convert to fraction form
    270.88/373.54 = 165.98/x
  3. Step 3: Cross multiply
    270.88x = 373.54 × 165.98
  4. Step 4: Simplify right side
    270.88x = 62,000.17
  5. Step 5: Solve for x
    x = 62,000.17/270.88
  6. Step 6: Final answer
    x = 228.88

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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.