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Finding the Fourth Proportional to 253.10, 378.88 and 161.66

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Solution

The fourth proportional to 253.10, 378.88 and 161.66 is: 242.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.10 : 378.88 = 161.66 : x
  2. Step 2: Convert to fraction form
    253.10/378.88 = 161.66/x
  3. Step 3: Cross multiply
    253.10x = 378.88 × 161.66
  4. Step 4: Simplify right side
    253.10x = 61,250.28
  5. Step 5: Solve for x
    x = 61,250.28/253.10
  6. Step 6: Final answer
    x = 242.00

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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.